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A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations

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Pith's one-line read A four-dimensional data-driven map of binary black hole masses and spins reveals four mass-based subpopulations with new spin correlations that constrain which formation channels dominate where.

desk verdict First real 4D data-driven BBH map on GWTC-5; the density work holds, the channel story is still qualitative. read the letter →

arxiv 2607.28622 v1 pith:CE7G5T4K submitted 2026-07-30 astro-ph.HE gr-qc

Anarya Ray , Vicky Kalogera This is my paper · ORCID
classification astro-ph.HEgr-qc
keywords binaryblackholesgravitationalwavesstellarmasscompactstarspopulationshierarchicalmergerspopulationinferenceeffectivespin
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Gravitational-wave catalogs show multiple groups of merging black-hole pairs, but theorists disagree on how much each formation route contributes because models of stellar evolution and dense environments are uncertain. Strongly parametric population fits often bake those uncertainties into the answer, while flexible methods have struggled to handle more than three parameters at once and therefore miss correlations. This Letter reconstructs, without strong population priors, the joint four-dimensional distribution of primary mass, mass ratio, effective aligned spin, and effective precessing spin for the latest LIGO-Virgo-KAGRA catalog. The reconstruction isolates four subpopulations that live in different primary-mass windows and carry distinct mass-ratio and spin fingerprints, including previously unseen correlations that appear only inside specific mass slices. Those fingerprints are then read as relative abundances of isolated binary evolution, first-generation dynamical assembly, and hierarchical mergers, giving a model-agnostic census of how the channels share the observed population across mass.

What carries the argument

GPU-accelerated binned Gaussian processes: the merger-rate density is a piecewise-constant function on a four-dimensional grid whose logarithmic values are drawn from a Gaussian-process prior with an exponential-quadratic kernel; Hamiltonian Monte Carlo on GPUs samples the high-dimensional hyperposterior while the Kronecker structure of the kernel keeps the covariance factorization tractable.

What would settle it

A larger catalog or a targeted mixture model that recovers a clean elliptical feature in the high-mass effective-spin plane, or that erases the reported chi-eff broadening with chi-p inside every high-mass and mass-ratio slice, would directly contradict the channel assignments drawn from the four-dimensional map.

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Extended reading notes

Core claim

The first fully data-driven reconstruction of the joint four-dimensional BBH distribution in primary mass, mass ratio, effective inspiral spin, and effective precessing spin shows four distinct mass-spanning subpopulations, each with its own mass-ratio and spin structure, plus new mass-restricted correlations (most notably a broadening of effective inspiral spin with effective precessing spin above roughly 44 solar masses that is not produced by marginalizing over mass or mass ratio). These features supply model-agnostic constraints on the relative contributions of isolated evolution, dynamical first-generation assembly, and hierarchical mergers in each mass window.

Load-bearing premise

The mapping from observed shapes in effective spins and mass ratio onto named formation channels is qualitative and can be degenerate; if those fingerprints are incomplete, the abundance claims fail even when the four-dimensional density is correctly recovered.

Editorial extensions

If this is right

  • The ~10 solar-mass peak is dominated by slowly spinning, preferentially aligned systems consistent with isolated evolution, with only a modest anti-aligned or in-plane fraction that may admit some dynamical or hierarchical contribution.
  • The 15–25 solar-mass window favors unequal masses and positively skewed aligned spins, requiring a mixture of hierarchical (likely AGN-disk) mergers and isolated sub-channels rather than either alone.
  • The 30–40 solar-mass window is consistent with isotropic, slowly spinning, equal-mass first-generation dynamical assembly, with possible triple-system contributions indicated by elevated precessing spin.
  • Above ~44 solar masses the population is not exclusively hierarchical: isotropic high- and moderate-spin components coexist, with hierarchical mergers growing in relative abundance toward higher mass but never monopolizing the slice.
  • No statistically significant pair-instability mass gap or exclusive hierarchical onset near 45 solar masses is required by the present four-dimensional reconstruction.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because the high-mass chi-eff–chi-p broadening survives every mass and mass-ratio cut, future parametric mixture models should treat it as an intrinsic two-component isotropic feature rather than a marginalization artifact.
  • The absence of a recovered pair-instability cut-off implies that claims of a sharp ~45 solar-mass edge in strongly modeled analyses are prior-sensitive and should be re-tested against the same four-dimensional nonparametric density.
  • Scaling the same binned-GP machinery to five dimensions that include redshift would directly measure how the relative channel abundances evolve with cosmic time, a measurement the present Letter flags as already computationally feasible.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. This Letter presents the first fully data-driven reconstruction of the joint four-dimensional BBH distribution in (m1, q, χeff, χp) from GWTC-5, using GPU-accelerated binned Gaussian processes with a Kronecker-separable exponential-quadratic kernel, injection-based selection correction, and a Monte Carlo variance penalty on the hierarchical likelihood (Eq. 1; App. D–E). From the inferred rate densities the authors identify four mass-spanning subpopulations (m1 windows in §3.2), quantify differences via Jensen–Shannon divergences (Fig. 2), and report mass-restricted correlations—most notably χeff broadening with χp for m1 ≳ 44 M⊙ that persists after slicing in m1 (Fig. 4) and q (Fig. 5). Section 4 maps these features onto relative contributions of isolated binary evolution, 1G+1G dynamical assembly, and hierarchical mergers across mass, arguing against exclusively hierarchical high-mass origins and against a clear pair-instability onset near ∼45 M⊙ in the current data.

Significance. If the 4D reconstruction and the reported conditional correlations hold, the work is a genuine methodological and empirical step beyond existing 3D non-parametric and strongly modeled mixture analyses. Scaling flexible population inference to four BBH parameters with publicly released code (gppop), Kronecker GP structure (App. E), variance-penalized likelihood (Eq. D8), and documented robustness to κ and binning (App. C) is a concrete technical contribution. The mass-conditional χeff–χp structure at high mass, checked against marginalization artifacts in m1 and q, is a falsifiable empirical result that can guide subsequent parametric mixture models. The channel-abundance narrative in §4 is more interpretive than quantitative, but the density reconstruction itself is of clear interest to the GW population community.

major comments (3)
  1. [§4, Abstract] §4 and the Abstract claim “novel insights into the abundances of specific subchannels” and several exclusionary statements (e.g., §4.2: hierarchical AGN mergers “cannot be the only channel”; §4.4: high-mass subpopulation “inconsistent with… exclusively hierarchical” origin; no concrete PI cut-off). These rest on qualitative spin/q fingerprints and visual reading of posterior-median heatmaps, not a quantitative mixture likelihood or comparison to theory grids. The 4D density results can stand without those abundance claims; please either (i) reframe §4/Abstract as hypothesis-generating consistency arguments with explicit degeneracy caveats (super-Eddington/tidal isolated channels vs AGN hierarchical; triples vs clusters), or (ii) add a minimal quantitative comparison (e.g., posterior predictive checks or mixture weights against published channel predictions) so that “abundance” language i
  2. [§3.2] §3.2 defines four subpopulation windows—(8,15), (15,25), (30,41), (44,200) M⊙—by eye around clusters in the m1–χeff plane, with a gap between 25–30 M⊙ and 41–44 M⊙ left unassigned. JS divergences (Fig. 2) show the conditional distributions differ, but do not justify the precise edges or the number of components. Because every subsequent correlation and channel assignment is conditioned on these windows, please either demonstrate stability under reasonable edge shifts / an extra intermediate bin, or replace fixed windows with a data-driven change-point or clustering criterion and show that the key claims (especially high-mass χeff–χp broadening and the SP2 unequal-q / positive-χeff features) survive.
  3. [Appendix A; Figs. 3–5] Appendix A notes that unphysical regions of the χeff–χp plane are not zeroed a priori, contrary to the physical support of those parameters. The authors argue sparse neighboring data make the bias negligible, but this is untested. Because the headline high-mass result is precisely a χeff–χp correlation (Figs. 3–5), please either impose the physical support constraint (set nγ=0 on unphysical bins) and rerun, or provide a controlled test showing that posterior medians and credible regions in the physical high-mass region are unchanged when unphysical bins are removed or heavily down-weighted.
minor comments (6)
  1. [Table 1; Appendix C] Table 1 and the default binning use highly irregular χeff/χp edges; App. C shows Model Z with uniform spin bins yields consistent 1D conditionals and key 2D features, which is good—please state the default vs Z comparison more prominently in the main text (one sentence near Table 1) so readers need not dig into the appendix for reassurance.
  2. [§3.1–3.2; Appendix B] Fig. 1 caption and main text refer to “four distinct clusters” in m1–χeff; the heatmaps are posterior medians only. Pointing readers explicitly to the fractional-uncertainty panels in App. B (Figs. 6–9) when each new correlation is introduced would strengthen the significance claims.
  3. [§2; §5] κ is fixed to the GWTC-5 median (2.7) with robustness at 1.9 and 3.9 (Models X,Y). A brief statement that redshift evolution is not jointly inferred, and that (m1,q,χeff,χp,z) is left to future work (§5), would clarify scope in §2.
  4. [Throughout] Typographical/formatting issues: “F our-dimensional” in the title block; “L VK” spacing; “bear 0.2” → “near 0.2” (§3.1); “sunject” → “subject” (App. A); “two-dimenstional” (§3.3); inconsistent “χ ef f” spacing throughout. Clean these before acceptance.
  5. [§4.1; §4.4] §4.1 quotes a 22.4+11.5−9.7% anti-aligned fraction and §4.4 a 30.6+21.2−15.4% q>0.7 fraction; please define exactly how these percentages are computed from the binned posterior (which bins, which mass slice, prior volume) in the text or appendix.
  6. [§1; §3] The parallel strongly modeled analysis by Guttman et al. (2026) is cited; a short explicit comparison of which mass-conditional features agree or disagree would help place the model-agnostic results.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: 4D BGP reconstruction is a standard hierarchical inference from GWTC-5; channel claims are post-hoc interpretation, not inputs renamed as predictions.

full rationale

The load-bearing empirical chain is Eq. (1) piecewise rate densities under a GP prior, sampled from the variance-penalized hierarchical likelihood (D6–D8) on public GWTC-5 PE and injection sets. Conditional densities, JS divergences, and the χeff–χp checks in Figs. 4–5 are functionals of that posterior, not quantities fitted then re-labeled as predictions. Mass-slice edges in §3.2 are analyst-chosen around visual clusters—a methodological choice that can bias interpretation, but not a definitional reduction of output to input. §4 channel-abundance statements are qualitative mappings from spin/q shapes to formation scenarios; they do not claim a first-principles derivation that algebraically equals those fingerprints. Self-citations (Sridhar et al. 2025; Ray et al. 2026) supply prior 3D motivation and comparison baselines; they are not uniqueness theorems or ansatze that force the 4D density. Appendix C robustness to binning/κ further shows the reported features are not forced by a single prior choice. No step reduces by construction to its own inputs.

Assumptions & free parameters 6 free parameters · 5 assumptions · 1 invented entities

The empirical core assumes standard hierarchical GW population inference plus a flexible GP-smoothed piecewise rate. Channel conclusions add domain lore mapping spin/q morphology to formation physics. Free choices that affect claimed subpopulations include binning, fixed κ, GP kernel/hyperpriors, variance-cut exponent, and analyst-defined mass windows.

free parameters (6)
  • GP length scales λ_θ for (m1, q, χeff, χp) = Inferred (not numerically tabulated in text)
    Inferred under LogNormal hyperpriors tied to bin-center separations; they set the minimum recoverable feature scale and thus which correlations can appear.
  • GP covariance amplitude σ_GP and mean μ_GP = Inferred
    Control overall rate contrast and baseline log-density; HalfNormal/TruncatedNormal hyperpriors in App. D.
  • Redshift evolution index κ = 2.7 (default)
    Fixed to median 2.7 from GWTC-5 population papers; varied only in robustness tests (1.9, 3.9).
  • Four subpopulation mass window edges = 8,15,25,30,41,44,200 M⊙
    Chosen by hand in §3.2 as (8–15), (15–25), (30–41), (44–200) M⊙ around visual clusters rather than jointly inferred.
  • Spin and mass-ratio bin edges = Table 1 default grid
    Irregular χeff/χp grids and 10 q bins (Table 1) set resolution; alternate Model Z bins tested in App. C.
  • MC variance penalty exponent n = 30
    Asymptotic cut on log-likelihood variance uses n=30 (tested 30–75) in App. D; affects which hypersamples are down-weighted.
assumptions (5)
  • domain assumption Detected BBHs are an inhomogeneous Poisson process with selection effects correctable by found injections above a FAR threshold.
    Standard Loredo/Mandel hierarchical setup stated in §2; underpins the entire likelihood.
  • ad hoc to paper Log rate densities across bins are drawn from a Gaussian process with exponential-quadratic kernel (Kronecker-separable across parameters).
    Core nonparametric prior (§2, App. D–E); alternative kernels are not explored beyond discussion in App. A.
  • domain assumption Redshift factors as (1+z)^{κ-1} with κ independent of m1,q,χeff,χp in the default model.
    §2 fixes separable redshift evolution; authors argue shape bias is small and test κ variations in App. C.
  • domain assumption Effective-spin and mass-ratio morphologies map qualitatively onto isolated vs dynamical 1G+1G vs hierarchical (and AGN vs cluster) channels.
    Load-bearing for §4 abundance claims; standard in the field but not re-derived here against simulations.
  • ad hoc to paper Nonzero model support in unphysical χeff–χp regions does not materially bias physical-region posteriors given sparse neighboring data.
    App. A acknowledges the issue and argues it away without a hard physicality constraint run.
invented entities (1)
  • Four mass-based BBH subpopulations (SP1–SP4)
    purpose: Organize distinct conditional (q, χeff, χp) structures and host channel interpretations.
    Operationally defined by chosen m1 windows plus JS divergence comparisons; useful taxonomy but not a new physical object with an external conserved charge or predicted microphysical scale.

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Pith. "Pith review of A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations." pith.science (2026). https://pith.science/paper/CE7G5T4K

@misc{pith2026260728622,
  author       = {Pith},
  title        = {Pith review of: A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/CE7G5T4K}},
  note         = {Machine review of arXiv:2607.28622}
}
read the original abstract

There is strong evidence of multiple binary black hole~(BBH) subpopulations in the cumulative gravitational wave catalog by the LIGO-Virgo-KAGRA collaboration that likely originate through distinct evolutionary channels. The astrophysical interpretation of this complex underlying population is subject to theoretical uncertainties in treatments of binary stellar evolution, core collapse, and host environments. Due to a lack of robust predictions and the sheer diversity of plausible features, strongly modelled population analyses often lead to prior-driven conclusions. On the other hand, flexible alternatives are often difficult to scale in higher dimensions, which can lead to a loss of critical information on astrophysically meaningful correlations. In this \textit{Letter}, we present the first data-driven reconstruction of the joint four-dimensional distribution of BBH primary masses, mass ratios, effective inspiral and effective precessing spin parameters, which yields novel model-agnostic constraints on the astrophysical origins of BBH subpopulations. We characterize four distinct subpopulations spanning different ranges of BBH masses and report new correlations in these specific mass ranges that are beyond the reach of strongly modeled parametrizations and lower-dimensional data-driven frameworks. Our results unveil novel insights into the abundances of specific subchannels of isolated binary evolution, dynamical assembly, and hierarchical mergers across various mass ranges in the astrophysical BBH population.

Figures

Figures reproduced from arXiv: 2607.28622 by the authors.

Figure 1
Figure 1. Marginal distributions in 1 and 2 dimensions. In the diagonal panels, the shaded regions represent 90% posterior credible intervals on the marginal 1-dimensional population distributions and the solid lines represent the medians. In the off-diagonal panels, the heat map represents the posterior median on the two-dimensional population density marginalized over the remaining BBH parameters and the orange lines repres… view at source ↗
Figure 2
Figure 2. One dimensional distributions conditioned on primary mass and the JS divergences between the distributions corresponding to the different mass-ranges, -1 0 1 Âeff 0.00 0.25 0.50 0.75 1.00 Â p m1 2 (8; 15) M¯ 10 −5 10 −3 10 −1 10 1 -1 0 1 Âeff 0.00 0.25 0.50 0.75 1.00 Â p m1 2 (15; 25) M¯ 10 −5 10 −3 10 −1 10 1 -1 0 1 Âeff 0.00 0.25 0.50 0.75 1.00 Â p m1 2 (30; 41) M¯ 10 −5 10 −3 10 −1 10 1 -1 0 1 Âeff 0.00 0.25 0.50… view at source ↗
Figure 3
Figure 3. Posterior median of the two-dimensional distributions (density heatmap and the corresponding 95%, 90%, and 50% contours) in different mass-ranges. mass ratio and a broadening of the χef f dis￾tribution with increasing mass ratios, unlike subpopulations 1 and 2. 4. Subpopulation 4, which comprises of high mass (m1 > 44M⊙), prefers unequal mass ratios but has higher support at q > 0.7 than subpopu- [PITH_FULL_IMAGE:f… view at source ↗
Figures from the paper (8 more)
Figure 4
Figure 4. Figure 4: Posterior median of the χeff −χp distributions (density heatmap and the corresponding 95%, 90%, and 50% contours) in specific mass ranges above 44M⊙, -1 0 1 Âeff 0.00 0.25 0.50 0.75 1.00 Â p m1 2 (8; 15) M¯ , q < 0:7 10 −5 10 −3 10 −1 10 1 -1 0 1 Âeff 0.00 0.25 0.50 0.…
Figure 5
Figure 5. Figure 5: Posterior median of the χeff −χp distributions (density heatmap and the corresponding 95%, 90%, and 50% contours) in different mass and mass ratio ranges. lation 2, has a broad χef f distribution symmetric about zero and prefers higher χp values than all other subpopul…
Figure 6
Figure 6. Figure 6: Same as [PITH_FULL_IMAGE:figures/full_fig_p011_6.png]
Figure 7
Figure 7. Figure 7: Posterior median (first, third, and fifth row) and fractional uncertainties (second, fourth, and sixth row) of the two-dimensional distributions in different mass and mass ratio ranges [PITH_FULL_IMAGE:figures/full_fig_p012_7.png]
Figure 8
Figure 8. Figure 8: Posterior median (top) and fractional uncertainty (bottom)of the χeff −χp distribution in specific mass ranges above 44M⊙, To avoid clutter, we do not reproduce every single plot presented in the main text for all three models. We instead show in Figures 10, and 11, th…
Figure 9
Figure 9. Figure 9: Posterior median (first and third row) and fractional uncertainties (second and fourth row) of the χeff − χp distributions in different mass and mass ratio ranges. (σ γ V T ) 2 = − (µ γ V T ) 2 Ndraw + 1 N2 draw X j∼p(θ⃗|det, draw) " 1 pdraw(m1,j , qj , χeff,j , χp,j ,…
Figure 10
Figure 10. Figure 10: One dimensional distributions conditioned on primary mass for the default binning choice (row 1 ), and models X,Y,Z (rows 2,3,4 ) σ 2 log p(d⃗|⃗n) = X γ n 2 γ (σ γ V T ) 2 + X i P γ n 2 γ (σ γ w(di))2 P γ nγµ γ w(di) 2 . (D7) Here, the variance in the log-likelihood…
Figure 11
Figure 11. Figure 11: Robustness of the χeff − χp (row 1 ) broadening at high masses, the χeff − q broadening in the 15 − 25M⊙ (row 2 ) and 30 − 40 (row 3) mass ranges, and the χp − q broadening in the 30 − 40M⊙ range (row 4 ) against variations in binning and κ values (from left to right …

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Works this paper leans on

170 extracted references · 1 canonical work pages

  1. [1]

    An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models

    Thrane, Eric and Talbot, Colm. An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models. Publ. Astron. Soc. Austral. 2019. doi:10.1017/pasa.2019.2. arXiv:1809.02293

    arXiv 2019

  2. [2]

    Loredo , title =

    Thomas J. Loredo , title =. 2004 , publisher =. doi:10.1063/1.1835214 , url =

    doi:10.1063/1.1835214 2004

  3. [3]

    and Taylor, Stephen R

    Vitale, Salvatore and Gerosa, Davide and Farr, Will M. and Taylor, Stephen R. Inferring the properties of a population of compact binaries in presence of selection effects. 2020. doi:10.1007/978-981-15-4702-7\_45-1. arXiv:2007.05579

    arXiv 2020

  4. [4]

    Reconstructing phenomenological distributions of compact binaries via gravitational wave observations , author =. Phys. Rev. D , volume =. 2019 , month =. doi:10.1103/PhysRevD.100.043012 , url =

    doi:10.1103/physrevd.100.043012 2019

  5. [5]

    and Gair, Jonathan R

    Mandel, Ilya and Farr, Will M. and Gair, Jonathan R. Extracting distribution parameters from multiple uncertain observations with selection biases. Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/stz896. arXiv:1809.02063

    arXiv 2019

  6. [6]

    Farr , title =

    Will M. Farr , title =. Research Notes of the AAS , abstract =. 2019 , month =. doi:10.3847/2515-5172/ab1d5f , url =

    doi:10.3847/2515-5172/ab1d5f 2019

  7. [7]

    2022 , eprint=

    Precision Requirements for Monte Carlo Sums within Hierarchical Bayesian Inference , author=. 2022 , eprint=

    2022

  8. [8]

    Journal of Open Source Software , doi =

    Colm Talbot and Amanda Farah and Shanika Galaudage and Jacob Golomb and Hui Tong , title =. Journal of Open Source Software , doi =. 2025 , publisher =

    2025

Show all 170 references
  1. [9]

    Nonparametric Inference of the Population of Compact Binaries from Gravitational-wave Observations Using Binned Gaussian Processes

    Ray, Anarya and Maga \ n a Hernandez, Ignacio and Mohite, Siddharth and Creighton, Jolien and Kapadia, Shasvath. Nonparametric Inference of the Population of Compact Binaries from Gravitational-wave Observations Using Binned Gaussian Processes. Astrophys. J. 2023. doi:10.3847/...

    2023 arXiv

  2. [10]

    Searching for Binary Black Hole Subpopulations in Gravitational-wave Data Using Binned Gaussian Processes

    Ray, Anarya and Maga \ n a Hernandez, Ignacio and Breivik, Katelyn and Creighton, Jolien. Searching for Binary Black Hole Subpopulations in Gravitational-wave Data Using Binned Gaussian Processes. Astrophys. J. 2025. doi:10.3847/1538-4357/adf22a. arXiv:2404.03166

    2025 arXiv

  3. [11]

    Characterizing Binary Black Hole Subpopulations in GWTC-4 with Binned Gaussian Processes: On the Origins of the 35M_ Peak

    Sridhar, Omkar and Ray, Anarya and Kalogera, Vicky. Characterizing Binary Black Hole Subpopulations in GWTC-4 with Binned Gaussian Processes: On the Origins of the 35M_ Peak. 2025. arXiv:2511.22093

    2025 arXiv

  4. [12]

    2022 , url =

    Mohite, Siddharth , title =. 2022 , url =

    2022

  5. [13]

    Farr and Andrea Colonna and Simon Stevenson and Peter Ti

    Ilya Mandel and Will M. Farr and Andrea Colonna and Simon Stevenson and Peter Ti. Model-independent inference on compact-binary observations , journal =. 2017 , doi =

    2017

  6. [14]

    and Morton, Timothy D

    Foreman-Mackey, Daniel and Hogg, David W. and Morton, Timothy D. , title =. The Astrophysical Journal , volume =. 2014 , doi =

    2014

  7. [15]

    Abac, A. G. and others. GWTC-5.0: Observations from the Second Part of the Fourth LIGO-Virgo-KAGRA Observing Run and Updates to the Gravitational-Wave Transient Catalog. 2026. arXiv:2605.27225

    2026 arXiv

  8. [16]

    GWTC-5.0 : Parameter estimation data release (Part 2 of 2)

    LIGO Scientific Collaboration and Virgo Collaboration and KAGRA Collaboration. GWTC-5.0 : Parameter estimation data release (Part 2 of 2)

  9. [17]

    GWTC-5.0 : Cumulative search sensitivity estimates

    LIGO Scientific Collaboration and Virgo Collaboration and KAGRA Collaboration. GWTC-5.0 : Cumulative search sensitivity estimates

  10. [18]

    Abac, A. G. and others. GWTC-5.0: Population Properties of Merging Compact Binaries. 2026. arXiv:2605.27226

    2026 arXiv

  11. [19]

    PyTorch: An Imperative Style, High-Performance Deep Learning Library

    Paszke, Adam and others. PyTorch: An Imperative Style, High-Performance Deep Learning Library. 2019. arXiv:1912.01703

    2019 arXiv

  12. [20]

    arXiv e-prints , keywords =

    Pyro: Deep Universal Probabilistic Programming. arXiv e-prints , keywords =. doi:10.48550/arXiv.1810.09538 , archivePrefix =. 1810.09538 , primaryClass =

    doi arXiv

  13. [21]

    Handbook of Markov Chain Monte Carlo , ISBN=

    Brooks, Steve and Gelman, Andrew and Jones, Galin and Meng, Xiao-Li , year=. Handbook of Markov Chain Monte Carlo , ISBN=. doi:10.1201/b10905 , publisher=

    doi

  14. [22]

    Journal of Machine Learning Research , volume =

    The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo , author =. Journal of Machine Learning Research , volume =. 2014 , url =

    2014

  15. [23]

    On the Astrophysical Origin of Binary Black Hole Subpopulations: A Tale of Three Channels?

    Ray, Anarya and Mukherjee, Shirsha and Zevin, Michael and Kalogera, Vicky. On the Astrophysical Origin of Binary Black Hole Subpopulations: A Tale of Three Channels?. Astrophys. J. Lett. 2026. doi:10.3847/2041-8213/ae80cb. arXiv:2603.17987

    2026 arXiv

  16. [24]

    Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0

    Alvarez-Lopez, Sofia and Heinzel, Jack and Vitale, Salvatore. Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0. 2026. arXiv:2606.12205

    2026 arXiv

  17. [25]

    Reversible-jump MCMC reveals binary black hole subpopulations with distinct redshift evolution

    Cheng, April Qiu and Toubiana, Alexandre and Biscoveanu, Sylvia and Gair, Jonathan. Reversible-jump MCMC reveals binary black hole subpopulations with distinct redshift evolution. 2026. arXiv:2605.25980

    2026 arXiv

  18. [26]

    and Farr, Will M

    Fishbach, Maya and Holz, Daniel E. and Farr, Will M. Does the Black Hole Merger Rate Evolve with Redshift?. Astrophys. J. Lett. 2018. doi:10.3847/2041-8213/aad800. arXiv:1805.10270

    2018 arXiv

  19. [27]

    Evidence for Three Subpopulations of Merging Binary Black Holes at Different Primary Masses

    Banagiri, Sharan and Thrane, Eric and Lasky, Paul D. Evidence for Three Subpopulations of Merging Binary Black Holes at Different Primary Masses. 2025. arXiv:2509.15646

    2025 arXiv

  20. [28]

    and Callister, Thomas

    Antonini, Fabio and Romero-Shaw, Isobel M. and Callister, Thomas. Star Cluster Population of High Mass Black Hole Mergers in Gravitational Wave Data. Phys. Rev. Lett. 2025. doi:10.1103/PhysRevLett.134.011401. arXiv:2406.19044

    2025 arXiv

  21. [29]

    and Colonna, Andrea and Stevenson, Simon and Ti n o, Peter and Veitch, John

    Mandel, Ilya and Farr, Will M. and Colonna, Andrea and Stevenson, Simon and Ti n o, Peter and Veitch, John. Model-independent inference on compact-binary observations. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stw2883. arXiv:1608.08223

    2017 arXiv

  22. [30]

    and Holz, Daniel E

    Fishbach, Maya and Farr, Will M. and Holz, Daniel E. The Most Massive Binary Black Hole Detections and the Identification of Population Outliers. Astrophys. J. Lett. 2020. doi:10.3847/2041-8213/ab77c9. arXiv:1911.05882

    2020 arXiv

  23. [31]

    Flexible and fast estimation of binary merger population distributions with an adaptive kernel density estimator

    Sadiq, Jam and Dent, Thomas and Wysocki, Daniel. Flexible and fast estimation of binary merger population distributions with an adaptive kernel density estimator. Phys. Rev. D. 2022. doi:10.1103/PhysRevD.105.123014. arXiv:2112.12659

    2022 arXiv

  24. [32]

    and Vijaykumar, Aditya and Fishbach, Maya

    Farah, Amanda M. and Vijaykumar, Aditya and Fishbach, Maya. The steep redshift evolution of the hierarchical merger rate may cause the z - _ eff correlation. 2026. arXiv:2601.03456

    2026 arXiv

  25. [33]

    and Thrane, Eric

    Guttman, Nir and Lasky, Paul D. and Thrane, Eric. Revealing Four Subpopulations of Binary Black-Hole Mergers with the Fifth Gravitational-Wave Transient Catalog. 2026. arXiv:2607.22011

    2026 arXiv

  26. [34]

    BBH-Genesis: Disentangling Binary Black Hole Formation Channels with GWTC-4

    Padhyegurjar, Shaunak and Mukherjee, Suvodip. BBH-Genesis: Disentangling Binary Black Hole Formation Channels with GWTC-4. 2026. arXiv:2606.00234

    2026 arXiv

  27. [35]

    Spin Doctors: How to Diagnose a Hierarchical Merger Origin

    Payne, Ethan and Kremer, Kyle and Zevin, Michael. Spin Doctors: How to Diagnose a Hierarchical Merger Origin. Astrophys. J. Lett. 2024. doi:10.3847/2041-8213/ad3e82. arXiv:2402.15066

    2024 arXiv

  28. [36]

    The First Detection of Sub-Populations in the Delay-Time Distribution of Binary Black Holes in GWTC-4 of LIGO-Virgo-KAGRA

    Padhyegurjar, Shaunak and Mukherjee, Suvodip. The First Detection of Sub-Populations in the Delay-Time Distribution of Binary Black Holes in GWTC-4 of LIGO-Virgo-KAGRA. 2026. arXiv:2606.02318

    2026 arXiv

  29. [37]

    Reexamining Evidence of a Pair-instability Mass Gap in the Binary Black Hole Population

    Ray, Anarya and Kalogera, Vicky. Reexamining Evidence of a Pair-instability Mass Gap in the Binary Black Hole Population. Astrophys. J. Lett. 2026. doi:10.3847/2041-8213/ae374d. arXiv:2510.18867

    2026

  30. [38]

    Gravitational waves reveal the pair-instability mass gap and constrain nuclear burning in massive stars

    Antonini, Fabio and Romero-Shaw, Isobel and Callister, Thomas and Dosopoulou, Fani and Chattopadhyay, Debatri and Gieles, Mark and Mapelli, Michela. Gravitational waves reveal the pair-instability mass gap and constrain nuclear burning in massive stars. 2025. arXiv:2509.04637

    2025 arXiv

  31. [39]

    Evidence of the pair instability gap in the distribution of black hole masses

    Tong, Hui and others. Evidence of the pair instability gap in the distribution of black hole masses. 2025. arXiv:2509.04151

    2025 arXiv

  32. [40]

    Phase space of binary black holes from gravitational wave observations to unveil its formation history

    Afroz, Samsuzzaman and Mukherjee, Suvodip. Phase space of binary black holes from gravitational wave observations to unveil its formation history. Phys. Rev. D. 2025. doi:10.1103/7zc2-g9vq. arXiv:2411.07304

    2025 arXiv

  33. [41]

    Binary Black Hole Phase Space Discovers the Signature of Pair Instability Supernovae Mass Gap

    Afroz, Samsuzzaman and Mukherjee, Suvodip. Binary Black Hole Phase Space Discovers the Signature of Pair Instability Supernovae Mass Gap. 2025. arXiv:2509.09123

    2025 arXiv

  34. [42]

    and Fishbach, Maya

    Vijaykumar, Aditya and Farah, Amanda M. and Fishbach, Maya. The maximum mass ratio of hierarchical mergers may cause the q - _ eff correlation. 2026. arXiv:2601.03457

    2026

  35. [43]

    In-plane Black-hole Spin Measurements Suggest Most Gravitational-wave Mergers Form in Triples

    Stegmann, Jakob and Antonini, Fabio and Olejak, Aleksandra and Biscoveanu, Sylvia and Raymond, Vivien and Rinaldi, Stefano and Flanagan, Beth. In-plane Black-hole Spin Measurements Suggest Most Gravitational-wave Mergers Form in Triples. 2025. arXiv:2512.15873

    2025

  36. [44]

    Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset

    Plunkett, Cailin and Callister, Thomas and Zevin, Michael and Vitale, Salvatore. Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset. 2026. arXiv:2601.07908

    2026 arXiv

  37. [45]

    and Fishbach, Maya and Thrane, Eric and Antonini, Fabio and Stevenson, Simon and Romero-Shaw, Isobel M

    Tong, Hui and Callister, Thomas A. and Fishbach, Maya and Thrane, Eric and Antonini, Fabio and Stevenson, Simon and Romero-Shaw, Isobel M. and Dosopoulou, Fani. A subpopulation of low-mass, spinning black holes: signatures of dynamical assembly. 2025. arXiv:2511.05316

    2025

  38. [46]

    Compactness Peaks and Subpopulations: Probing Stellar Physics and Formation Channels of Merging Binary Black Holes

    Galaudage, Shanika. Compactness Peaks and Subpopulations: Probing Stellar Physics and Formation Channels of Merging Binary Black Holes. 2026. arXiv:2605.25994

    2026 arXiv

  39. [47]

    Paola and Mislimi, Elvir and Hannuksela, Otto A

    Rinaldi, Stefano and Wong, Charmaine and Vaccaro, M. Paola and Mislimi, Elvir and Hannuksela, Otto A. and Leong, Samson H. W. and Mapelli, Michela. When the black holes align: a subpopulation of aligned massive binary black holes observed via gravitational waves. 2026. arXiv:2...

    2026 arXiv

  40. [48]

    Aligned Hierarchical Black Hole Mergers in Active-Galactic-Nuclei Disks Revealed by GWTC-4

    Li, Yin-Jie and Wang, Yuan-Zhu and Tang, Shao-Peng and Fan, Yi-Zhong. Aligned Hierarchical Black Hole Mergers in Active-Galactic-Nuclei Disks Revealed by GWTC-4. Phys. Rev. Lett. 2026. doi:10.1103/qyfv-wkv1. arXiv:2509.23897

    2026 arXiv

  41. [49]

    and others

    Aasi, J. and others. Advanced LIGO. Class. Quant. Grav. 2015. doi:10.1088/0264-9381/32/7/074001. arXiv:1411.4547

    2015 arXiv

  42. [50]

    and others

    Acernese, F. and others. Advanced Virgo: a second-generation interferometric gravitational wave detector. Class. Quant. Grav. 2015. doi:10.1088/0264-9381/32/2/024001. arXiv:1408.3978

    2015 arXiv

  43. [51]

    and others

    Akutsu, T. and others. Overview of KAGRA: Calibration, detector characterization, physical environmental monitors, and the geophysics interferometer. PTEP. 2021. doi:10.1093/ptep/ptab018. arXiv:2009.09305

    2021

  44. [52]

    A new group of low-spin 50-70M_ Black Holes and the high pair-instability mass cutoff

    Wang, Yuan-Zhu and Li, Yin-Jie and Gao, Shi-Jie and Tang, Shao-Peng and Fan, Yi-Zhong. A new group of low-spin 50-70M_ Black Holes and the high pair-instability mass cutoff. 2025. arXiv:2510.22698

    2025 arXiv

  45. [53]

    Rates of compact object coalescences

    Mandel, Ilya and Broekgaarden, Floor S. Rates of compact object coalescences. Living Rev. Rel. 2022. doi:10.1007/s41114-021-00034-3. arXiv:2107.14239

    2022 arXiv

  46. [54]

    Population Synthesis of Gravitational Wave Sources

    Breivik, Katelyn. Population Synthesis of Gravitational Wave Sources. 2025. doi:10.1016/B978-0-443-21439-4.00115-2. arXiv:2502.03523

    2025 arXiv

  47. [55]

    Merging stellar-mass binary black holes

    Mandel, Ilya and Farmer, Alison. Merging stellar-mass binary black holes. Phys. Rept. 2022. doi:10.1016/j.physrep.2022.01.003. arXiv:1806.05820

    2022 arXiv

  48. [56]

    Formation Channels of Single and Binary Stellar-Mass Black Holes

    Mapelli, Michela. Formation Channels of Single and Binary Stellar-Mass Black Holes. 2021. doi:10.1007/978-981-15-4702-7_16-1. arXiv:2106.00699

    2021 arXiv

  49. [57]

    and Berry, Christopher P

    Zevin, Michael and Bavera, Simone S. and Berry, Christopher P. L. and Kalogera, Vicky and Fragos, Tassos and Marchant, Pablo and Rodriguez, Carl L. and Antonini, Fabio and Holz, Daniel E. and Pankow, Chris. One Channel to Rule Them All? Constraining the Origins of Binary Black...

    2021 arXiv

  50. [58]

    Colloms, Storm and Berry, Christopher P. L. and Veitch, John and Zevin, Michael. Exploring the Evolution of Gravitational-wave Emitters with Efficient Emulation: Constraining the Origins of Binary Black Holes Using Normalizing Flows. Astrophys. J. 2025. doi:10.3847/1538-4357/a...

    2025 arXiv

  51. [59]

    What You Don t Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses

    Cheng, April Qiu and Zevin, Michael and Vitale, Salvatore. What You Don t Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses. Astrophys. J. 2023. doi:10.3847/1538-4357/aced98. arXiv:2307.03129

    2023 arXiv

  52. [60]

    Black-hole kicks from numerical-relativity surrogate models

    Gerosa, Davide and H \'e bert, Fran c ois and Stein, Leo C. Black-hole kicks from numerical-relativity surrogate models. Phys. Rev. D. 2018. doi:10.1103/PhysRevD.97.104049. arXiv:1802.04276

    2018 arXiv

  53. [61]

    Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures

    Gerosa, Davide and Fishbach, Maya. Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures. Nature Astron. 2021. doi:10.1038/s41550-021-01398-w. arXiv:2105.03439

    2021 arXiv

  54. [62]

    and Jermyn, Adam S

    Fuller, Jim and Piro, Anthony L. and Jermyn, Adam S. Slowing the spins of stellar cores. Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/stz514. arXiv:1902.08227

    2019 arXiv

  55. [63]

    Angular momentum transport in massive stars and natal neutron star rotation rates

    Ma, Linhao and Fuller, Jim. Angular momentum transport in massive stars and natal neutron star rotation rates. Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/stz2009. arXiv:1907.03713

    2019 arXiv

  56. [64]

    Most Black Holes are Born Very Slowly Rotating

    Fuller, Jim and Ma, Linhao. Most Black Holes are Born Very Slowly Rotating. Astrophys. J. Lett. 2019. doi:10.3847/2041-8213/ab339b. arXiv:1907.03714

    2019 arXiv

  57. [65]

    and Heger, Alexander

    Woosley, Stanford Earl and Blinnikov, S. and Heger, Alexander. Pulsational pair instability as an explanation for the most luminous supernovae. Nature. 2007. doi:10.1038/nature06333. arXiv:0710.3314

    2007 arXiv

  58. [66]

    and Woosley, S

    Heger, A. and Woosley, S. E. The nucleosynthetic signature of population III. Astrophys. J. 2002. doi:10.1086/338487. arXiv:astro-ph/0107037

    2002 arXiv

  59. [67]

    and others

    Belczynski, K. and others. The Effect of Pair-Instability Mass Loss on Black Hole Mergers. Astron. Astrophys. 2016. doi:10.1051/0004-6361/201628980. arXiv:1607.03116

    2016 arXiv

  60. [68]

    Constraints from gravitational wave detections of binary black hole mergers on the ^ 12 C ( , )^ 16 \! O rate

    Farmer, Robert and Renzo, Mathieu and de Mink, Selma and Fishbach, Maya and Justham, Stephen. Constraints from gravitational wave detections of binary black hole mergers on the ^ 12 C ( , )^ 16 \! O rate. Astrophys. J. Lett. 2020. doi:10.3847/2041-8213/abbadd. arXiv:2006.06678

    2020 arXiv

  61. [69]

    van Son, L. A. C. and de Mink, S. E. and Broekgaarden, F. S. and Renzo, M. and Justham, S. and Laplace, E. and Moran-Fraile, J. and Hendriks, D. D. and Farmer, R. Polluting the pair-instability mass gap for binary black holes through super-Eddington accretion in isolated binar...

    2020 arXiv

  62. [70]

    Filling the black hole mass gap: Avoiding pair instability in massive stars through addition of nonnuclear energy

    Ziegler, Joshua and Freese, Katherine. Filling the black hole mass gap: Avoiding pair instability in massive stars through addition of nonnuclear energy. Phys. Rev. D. 2021. doi:10.1103/PhysRevD.104.043015. arXiv:2010.00254

    2021 arXiv

  63. [71]

    Very massive stars, pair-instability supernovae and intermediate-mass black holes with the SEVN code

    Spera, Mario and Mapelli, Michela. Very massive stars, pair-instability supernovae and intermediate-mass black holes with the SEVN code. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx1576. arXiv:1706.06109

    2017 arXiv

  64. [72]

    Hendriks, D. D. and van Son, L. A. C. and Renzo, M. and Izzard, R. G. and Farmer, R. Pulsational pair-instability supernovae in gravitational-wave and electromagnetic transients. Mon. Not. Roy. Astron. Soc. 2023. doi:10.1093/mnras/stad2857. arXiv:2309.09339

    2023 arXiv

  65. [73]

    and Renzo, M

    Farmer, R. and Renzo, M. and de Mink, S. E. and Marchant, P. and Justham, S. Mind the gap: The location of the lower edge of the pair instability supernovae black hole mass gap. 2019. doi:10.3847/1538-4357/ab518b. arXiv:1910.12874

    2019 arXiv

  66. [74]

    Cosmological black hole spin evolution by mergers and accretion

    Berti, Emanuele and Volonteri, Marta. Cosmological black hole spin evolution by mergers and accretion. Astrophys. J. 2008. doi:10.1086/590379. arXiv:0802.0025

    2008 arXiv

  67. [75]

    The final spin from binary black holes in quasi-circular orbits

    Hofmann, Fabian and Barausse, Enrico and Rezzolla, Luciano. The final spin from binary black holes in quasi-circular orbits. Astrophys. J. Lett. 2016. doi:10.3847/2041-8205/825/2/L19. arXiv:1605.01938

    2016 arXiv

  68. [76]

    and Zevin, Michael and Amaro-Seoane, Pau and Chatterjee, Sourav and Kremer, Kyle and Rasio, Frederic A

    Rodriguez, Carl L. and Zevin, Michael and Amaro-Seoane, Pau and Chatterjee, Sourav and Kremer, Kyle and Rasio, Frederic A. and Ye, Claire S. Black holes: The next generation repeated mergers in dense star clusters and their gravitational-wave properties. Phys. Rev. D. 2019. do...

    2019 arXiv

  69. [77]

    and Fishbach, Maya

    Borchers, Angela and Ye, Claire S. and Fishbach, Maya. Gravitational-wave Kicks Impact the Spins of Black Holes from Hierarchical Mergers. Astrophys. J. 2025. doi:10.3847/1538-4357/addec6. arXiv:2503.21278

    2025 arXiv

  70. [78]

    and McMillan, Stephen

    Portegies Zwart, Simon F. and McMillan, Stephen. Black hole mergers in the universe. Astrophys. J. Lett. 2000. doi:10.1086/312422. arXiv:astro-ph/9910061

    2000 arXiv

  71. [79]

    Fitchett, M. J. The influence of gravitational wave momentum losses on the centre of mass motion of a Newtonian binary system. Mon. Not. Roy. Astron. Soc. 1983. doi:10.1093/mnras/203.4.1049

    1983 doi

  72. [80]

    and Holz, Daniel E

    Favata, Marc and Hughes, Scott A. and Holz, Daniel E. How black holes get their kicks: Gravitational radiation recoil revisited. Astrophys. J. Lett. 2004. doi:10.1086/421552. arXiv:astro-ph/0402056

    2004 arXiv

  73. [81]

    and Sperhake, Ulrich and Bruegmann, Bernd and Hannam, Mark and Husa, Sascha

    Gonzalez, Jose A. and Sperhake, Ulrich and Bruegmann, Bernd and Hannam, Mark and Husa, Sascha. Total recoil: The Maximum kick from nonspinning black-hole binary inspiral. Phys. Rev. Lett. 2007. doi:10.1103/PhysRevLett.98.091101. arXiv:gr-qc/0610154

    2007 arXiv

  74. [82]

    and Nakano, Hiroyuki and Zlochower, Yosef and Campanelli, Manuela

    Lousto, Carlos O. and Nakano, Hiroyuki and Zlochower, Yosef and Campanelli, Manuela. Statistical studies of Spinning Black-Hole Binaries. Phys. Rev. D. 2010. doi:10.1103/PhysRevD.81.084023. arXiv:0910.3197

    2010 arXiv

  75. [83]

    Mahapatra, Parthapratim and Gupta, Anuradha and Favata, Marc and Arun, K. G. and Sathyaprakash, B. S. Remnant Black Hole Kicks and Implications for Hierarchical Mergers. Astrophys. J. Lett. 2021. doi:10.3847/2041-8213/ac20db. arXiv:2106.07179

    2021 arXiv

  76. [84]

    and Farr, Ben

    Fishbach, Maya and Holz, Daniel E. and Farr, Ben. Are LIGO's Black Holes Made From Smaller Black Holes?. Astrophys. J. Lett. 2017. doi:10.3847/2041-8213/aa7045. arXiv:1703.06869

    2017 arXiv

  77. [85]

    Are merging black holes born from stellar collapse or previous mergers?

    Gerosa, Davide and Berti, Emanuele. Are merging black holes born from stellar collapse or previous mergers?. Phys. Rev. D. 2017. doi:10.1103/PhysRevD.95.124046. arXiv:1703.06223

    2017 arXiv

  78. [86]

    Berry, Christopher P

    Kimball, Chase and Talbot, Colm and L. Berry, Christopher P. and Carney, Matthew and Zevin, Michael and Thrane, Eric and Kalogera, Vicky. Black Hole Genealogy: Identifying Hierarchical Mergers with Gravitational Waves. Astrophys. J. 2020. doi:10.3847/1538-4357/aba518. arXiv:2005.00023

    2020 arXiv

  79. [87]

    and Fragos, Tassos and Qin, Ying and Zapartas, Emmanouil and Neijssel, Coenraad J

    Bavera, Simone S. and Fragos, Tassos and Qin, Ying and Zapartas, Emmanouil and Neijssel, Coenraad J. and Mandel, Ilya and Batta, Aldo and Gaebel, Sebastian M. and Kimball, Chase and Stevenson, Simon. The origin of spin in binary black holes: Predicting the distributions of the...

    2020 arXiv

  80. [88]

    and Rasio, Frederic A

    O'Leary, Ryan M. and Rasio, Frederic A. and Fregeau, John M. and Ivanova, Natalia and O'Shaughnessy, Richard W. Binary mergers and growth of black holes in dense star clusters. Astrophys. J. 2006. doi:10.1086/498446. arXiv:astro-ph/0508224

    2006 arXiv

  81. [89]

    Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections

    Antonini, Fabio and Rasio, Frederic A. Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections. Astrophys. J. 2016. doi:10.3847/0004-637X/831/2/187. arXiv:1606.04889

    2016 arXiv

  82. [90]

    Mass-gap Mergers in Active Galactic Nuclei

    Tagawa, Hiromichi and Kocsis, Bence and Haiman, Zoltan and Bartos, Imre and Omukai, Kazuyuki and Samsing, Johan. Mass-gap Mergers in Active Galactic Nuclei. Astrophys. J. 2021. doi:10.3847/1538-4357/abd555. arXiv:2012.00011

    2021 arXiv

  83. [91]

    Hierarchical black hole mergers in young, globular and nuclear star clusters: the effect of metallicity, spin and cluster properties

    Mapelli, Michela and others. Hierarchical black hole mergers in young, globular and nuclear star clusters: the effect of metallicity, spin and cluster properties. Mon. Not. Roy. Astron. Soc. 2021. doi:10.1093/mnras/stab1334. arXiv:2103.05016

    2021 arXiv

  84. [92]

    Coalescing black hole binaries from globular clusters: mass distributions and comparison to gravitational wave data from GWTC-3

    Antonini, Fabio and Gieles, Mark and Dosopoulou, Fani and Chattopadhyay, Debatri. Coalescing black hole binaries from globular clusters: mass distributions and comparison to gravitational wave data from GWTC-3. Mon. Not. Roy. Astron. Soc. 2023. doi:10.1093/mnras/stad972. arXiv...

    2023 arXiv

  85. [93]

    Hierarchical binary black hole mergers in globular clusters: Mass function and evolution with redshift

    Torniamenti, Stefano and Mapelli, Michela and P \'e rigois, Carole and Sedda, Manuel Arca and Artale, Maria Celeste and Dall'Amico, Marco and Vaccaro, Maria Paola. Hierarchical binary black hole mergers in globular clusters: Mass function and evolution with redshift. Astron. A...

    2024 arXiv

  86. [94]

    Hierarchical Black Hole Mergers in AGN Disks: Tracing Massive Black Hole Growth Across Cosmic Time

    Vaccaro, Maria Paola. Hierarchical Black Hole Mergers in AGN Disks: Tracing Massive Black Hole Growth Across Cosmic Time. 2025. arXiv:2508.15337

    2025 arXiv

  87. [95]

    and Kremer, Kyle and Vanderzyden, Hans D

    K ro g lu, Fulya and Lombardi, James C. and Kremer, Kyle and Vanderzyden, Hans D. and Rasio, Frederic A. Spin Orbit Alignment in Merging Binary Black Holes Following Collisions with Massive Stars. Astrophys. J. Lett. 2025. doi:10.3847/2041-8213/adc263. arXiv:2501.09068

    2025 arXiv

  88. [96]

    Black Hole Accretion and Spin-up through Stellar Collisions in Dense Star Clusters

    K ro g lu, Fulya and Kremer, Kyle and Biscoveanu, Sylvia and Prieto, Elena Gonz \'a lez and Rasio, Frederic A. Black Hole Accretion and Spin-up through Stellar Collisions in Dense Star Clusters. Astrophys. J. 2025. doi:10.3847/1538-4357/ada26b. arXiv:2410.01879

    2025 arXiv

  89. [97]

    Spin orbit misalignment in close binaries with two compact objects

    Kalogera, Vassiliki. Spin orbit misalignment in close binaries with two compact objects. Astrophys. J. 2000. doi:10.1086/309400. arXiv:astro-ph/9911417

    2000 arXiv

  90. [98]

    Signatures of spin precession and nutation in isolated black-hole binaries

    Steinle, Nathan and Kesden, Michael. Signatures of spin precession and nutation in isolated black-hole binaries. Phys. Rev. D. 2022. doi:10.1103/PhysRevD.106.063028. arXiv:2206.00391

    2022 arXiv

  91. [99]

    Repopulating the pair-instability mass gap without sustained growth to massive IMBHs: the case of 47 Tuc

    Chattopadhyay, Debatri and Mar \' n Pina, Daniel and Gieles, Mark and Antonini, Fabio and Pouliasis, Fotios Fronimos. Repopulating the pair-instability mass gap without sustained growth to massive IMBHs: the case of 47 Tuc. 2026. arXiv:2604.09773

    2026 arXiv

  92. [100]

    Suspicious Siblings: The Distribution of Mass and Spin across Component Black Holes in Isolated Binary Evolution

    Zevin, Michael and Bavera, Simone S. Suspicious Siblings: The Distribution of Mass and Spin across Component Black Holes in Isolated Binary Evolution. Astrophys. J. 2022. doi:10.3847/1538-4357/ac6f5d. arXiv:2203.02515

    2022 arXiv

  93. [101]

    and Stevenson, Simon and Thrane, Eric

    Broekgaarden, Floor S. and Stevenson, Simon and Thrane, Eric. Signatures of Mass Ratio Reversal in Gravitational Waves from Merging Binary Black Holes. Astrophys. J. 2022. doi:10.3847/1538-4357/ac8879. arXiv:2205.01693

    2022 arXiv

  94. [102]

    and others

    Bavera, Simone S. and others. The impact of mass-transfer physics on the observable properties of field binary black hole populations. Astron. Astrophys. 2021. doi:10.1051/0004-6361/202039804. arXiv:2010.16333

    2021 arXiv

  95. [103]

    Avoiding a Cluster Catastrophe: Retention Efficiency and the Binary Black Hole Mass Spectrum

    Zevin, Michael and Holz, Daniel E. Avoiding a Cluster Catastrophe: Retention Efficiency and the Binary Black Hole Mass Spectrum. Astrophys. J. Lett. 2022. doi:10.3847/2041-8213/ac853d. arXiv:2205.08549

    2022 arXiv

  96. [104]

    Tossing Black Hole Spin Axes

    Tauris, Thomas M. Tossing Black Hole Spin Axes. Astrophys. J. 2022. doi:10.3847/1538-4357/ac86c8. arXiv:2205.02541

    2022 arXiv

  97. [105]

    Explaining LIGO s observations via isolated binary evolution with natal kicks

    Wysocki, Daniel and Gerosa, Davide and O'Shaughnessy, Richard and Belczynski, Krzysztof and Gladysz, Wojciech and Berti, Emanuele and Kesden, Michael and Holz, Daniel E. Explaining LIGO s observations via isolated binary evolution with natal kicks. Phys. Rev. D. 2018. doi:10.1...

    2018 arXiv

  98. [106]

    and Farr, Will M

    Callister, Thomas A. and Farr, Will M. and Renzo, Mathieu. State of the Field: Binary Black Hole Natal Kicks and Prospects for Isolated Field Formation after GWTC-2. Astrophys. J. 2021. doi:10.3847/1538-4357/ac1347. arXiv:2011.09570

    2021 arXiv

  99. [107]

    Impact of Natal Kicks on Merger Rates and Spin Orbit Misalignments of Black Hole Neutron Star Mergers

    Fragione, Giacomo and Loeb, Abraham and Rasio, Frederic A. Impact of Natal Kicks on Merger Rates and Spin Orbit Misalignments of Black Hole Neutron Star Mergers. Astrophys. J. Lett. 2021. doi:10.3847/2041-8213/ac225a. arXiv:2108.06538

    2021 arXiv

  100. [108]

    Estimates of black-hole natal kick velocities from observations of low-mass X-ray binaries

    Mandel, Ilya. Estimates of black-hole natal kick velocities from observations of low-mass X-ray binaries. Mon. Not. Roy. Astron. Soc. 2016. doi:10.1093/mnras/stv2733. arXiv:1510.03871

    2016 arXiv

  101. [109]

    The Formation of Stellar Black Holes

    Mirabel, F \'e lix. The Formation of Stellar Black Holes. New Astron. Rev. 2017. doi:10.1016/j.newar.2017.04.002. arXiv:1609.08411

    2017 arXiv

  102. [110]

    Evolution of massive stellar triples and implications for compact object binary formation

    Stegmann, Jakob and Antonini, Fabio and Moe, Maxwell. Evolution of massive stellar triples and implications for compact object binary formation. Mon. Not. Roy. Astron. Soc. 2022. doi:10.1093/mnras/stac2192. arXiv:2112.10786

    2022 arXiv

  103. [111]

    Heggie, D. C. Star cluster simulations. 1997. arXiv:astro-ph/9711185

    1997 arXiv

  104. [112]

    Evidence for Hierarchical Black Hole Mergers in the Second LIGO Virgo Gravitational Wave Catalog

    Kimball, Chase and others. Evidence for Hierarchical Black Hole Mergers in the Second LIGO Virgo Gravitational Wave Catalog. Astrophys. J. Lett. 2021. doi:10.3847/2041-8213/ac0aef. arXiv:2011.05332

    2021 arXiv

  105. [113]

    Mapelli, Michela and Bouffanais, Yann and Santoliquido, Filippo and Sedda, Manuel Arca and Artale, M. Celeste. The cosmic evolution of binary black holes in young, globular, and nuclear star clusters: rates, masses, spins, and mixing fractions. Mon. Not. Roy. Astron. Soc. 2022...

    2022 arXiv

  106. [114]

    Double black hole mergers in nuclear star clusters: eccentricities, spins, masses, and the growth of massive seeds

    Chattopadhyay, Debatri and Stegmann, Jakob and Antonini, Fabio and Barber, Jordan and Romero-Shaw, Isobel M. Double black hole mergers in nuclear star clusters: eccentricities, spins, masses, and the growth of massive seeds. Mon. Not. Roy. Astron. Soc. 2023. doi:10.1093/mnras/...

    2023 arXiv

  107. [115]

    and Weatherford, Newlin C

    Rodriguez, Carl L. and Weatherford, Newlin C. and Coughlin, Scott C. and Amaro-Seoane, Pau and Breivik, Katelyn and Chatterjee, Sourav and Fragione, Giacomo and Kıroğlu, Fulya and Kremer, Kyle and Rui, Nicholas Z. and Ye, Claire S. and Zevin, Michael and Rasio, Frederic A. , y...

    doi

  108. [116]

    Binary black hole mergers from field triples: properties, rates and the impact of stellar evolution

    Antonini, Fabio and Toonen, Silvia and Hamers, Adrian S. Binary black hole mergers from field triples: properties, rates and the impact of stellar evolution. Astrophys. J. 2017. doi:10.3847/1538-4357/aa6f5e. arXiv:1703.06614

    2017 arXiv

  109. [117]

    Black Hole and Neutron Star Binary Mergers in Triple Systems: Merger Fraction and Spin Orbit Misalignment

    Liu, Bin and Lai, Dong. Black Hole and Neutron Star Binary Mergers in Triple Systems: Merger Fraction and Spin Orbit Misalignment. Astrophys. J. 2018. doi:10.3847/1538-4357/aad09f. arXiv:1805.03202

    2018 arXiv

  110. [118]

    and Antonini, Fabio

    Rodriguez, Carl L. and Antonini, Fabio. A Triple Origin for the Heavy and Low-Spin Binary Black Holes Detected by LIGO/Virgo. Astrophys. J. 2018. doi:10.3847/1538-4357/aacea4. arXiv:1805.08212

    2018 arXiv

  111. [119]

    Briel, M. M. and Stevance, H. F. and Eldridge, J. J. Understanding the high-mass binary black hole population from stable mass transfer and super-Eddington accretion in bpass. Mon. Not. Roy. Astron. Soc. 2023. doi:10.1093/mnras/stad399. arXiv:2206.13842

    2023 arXiv

  112. [120]

    and Zevin, Michael and Pankow, Chris and Kalogera, Vasilliki and Rasio, Frederic A

    Rodriguez, Carl L. and Zevin, Michael and Pankow, Chris and Kalogera, Vasilliki and Rasio, Frederic A. Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO. Astrophys. J. Lett. 2016. doi:10.3847/2041-8205/832/1/L2. arXiv:1609.05916

    2016 arXiv

  113. [121]

    and Stevenson, Simon and Coleman Miller, M

    Farr, Will M. and Stevenson, Simon and Coleman Miller, M. and Mandel, Ilya and Farr, Ben and Vecchio, Alberto. Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves. Nature. 2017. doi:10.1038/nature23453. arXiv:1706.01385

    2017 arXiv

  114. [122]

    Monthly Notices of the Royal Astronomical Society , volume =

    Antonini, Fabio and Gieles, Mark and Dosopoulou, Fani and Chattopadhyay, Debatri , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2023 , month =. doi:10.1093/mnras/stad972 , url =

    2023 doi

  115. [123]

    Spin Evolution of Stellar-mass Black Hole Binaries in Active Galactic Nuclei

    Tagawa, Hiromichi and Haiman, Zoltan and Bartos, Imre and Kocsis, Bence. Spin Evolution of Stellar-mass Black Hole Binaries in Active Galactic Nuclei. Astrophys. J. 2020. doi:10.3847/1538-4357/aba2cc. arXiv:2004.11914

    2020 arXiv

  116. [124]

    and Ford, K

    McKernan, B. and Ford, K. E. S. and Callister, T. and Farr, W. M. and O'Shaughnessy, R. and Smith, R. and Thrane, E. and Vajpeyi, A. LIGO Virgo correlations between mass ratio and effective inspiral spin: testing the active galactic nuclei channel. Mon. Not. Roy. Astron. Soc. ...

    2022 arXiv

  117. [125]

    Li, Gongjie and Bhaskar, Hareesh Gautham and Kocsis, Bence and Lin, Douglas N. C. Secular Spin Orbit Resonances of Black Hole Binaries in AGN Disks. Astrophys. J. 2023. doi:10.3847/1538-4357/acccf1. arXiv:2202.11739

    2023 arXiv

  118. [126]

    and others

    Mckernan, B. and others. Constraining Stellar-mass Black Hole Mergers in AGN Disks Detectable with LIGO. Astrophys. J. 2018. doi:10.3847/1538-4357/aadae5. arXiv:1702.07818

    2018 arXiv

  119. [127]

    Black-hole mergers in disklike environments could explain the observed q- eff correlation

    Santini, Alessandro and Gerosa, Davide and Cotesta, Roberto and Berti, Emanuele. Black-hole mergers in disklike environments could explain the observed q- eff correlation. Phys. Rev. D. 2023. doi:10.1103/PhysRevD.108.083033. arXiv:2308.12998

    2023 arXiv

  120. [128]

    and Ford, K

    McKernan, B. and Ford, K. E. S. Constraining the LVK AGN channel with black hole spins. Mon. Not. Roy. Astron. Soc. 2024. doi:10.1093/mnras/stae1351. arXiv:2309.15213

    2024 arXiv

  121. [129]

    McKernan, Barry and Ford, K. E. Saavik and Cook, Harrison E. and Delfavero, Vera and McPike, Emily and Nathaniel, Kaila and Postiglione, Jake and Ray, Shawn and O'Shaughnessy, Richard. McFACTS I: Testing the LVK AGN Channel with Monte Carlo for AGN Channel Testing and Simulati...

    2025 arXiv

  122. [130]

    and McKernan, Barry and Ford, K

    Cook, Harrison E. and McKernan, Barry and Ford, K. E. Saavik and Delfavero, Vera and Nathaniel, Kaila and Postiglione, Jake and Ray, Shawn and McPike, Emily J. and O'Shaughnessy, Richard. McFACTS. II. Mass Ratio Effective Spin Relationship of Black Hole Mergers in the Active G...

    2025 arXiv

  123. [131]

    Spin-Orbit Misalignments of Eccentric Black Hole Mergers in AGN Disks

    Fabj, Gaia and Tiede, Christopher and Rowan, Connar and Pessah, Martin and Samsing, Johan. Spin-Orbit Misalignments of Eccentric Black Hole Mergers in AGN Disks. 2025. arXiv:2510.07952

    2025

  124. [132]

    and Feldmann, Robert and Grudic, Michael Y

    Bruel, Tristan and Lamberts, Astrid and Rodriguez, Carl L. and Feldmann, Robert and Grudic, Michael Y. and Moreno, Jorge. Great Balls of FIRE - IV. Contribution of massive star clusters to the astrophysical population of merging binary black holes. Astron. Astrophys. 2025. doi...

    2025

  125. [133]

    van Son, L. A. C. and de Mink, S. E. and Renzo, M. and Justham, S. and Zapartas, E. and Breivik, K. and Callister, T. and Farr, W. M. and Conroy, C. No Peaks without Valleys: The Stable Mass Transfer Channel for Gravitational-wave Sources in Light of the Neutron Star Black Hol...

    2022 arXiv

  126. [134]

    Spin orientations of merging black holes formed from the evolution of stellar binaries

    Gerosa, Davide and Berti, Emanuele and O'Shaughnessy, Richard and Belczynski, Krzysztof and Kesden, Michael and Wysocki, Daniel and Gladysz, Wojciech. Spin orientations of merging black holes formed from the evolution of stellar binaries. Phys. Rev. D. 2018. doi:10.1103/PhysRe...

    2018 arXiv

  127. [135]

    Compactness peaks: An astrophysical interpretation of the mass distribution of merging binary black holes

    Galaudage, Shanika and Lamberts, Astrid. Compactness peaks: An astrophysical interpretation of the mass distribution of merging binary black holes. Astron. Astrophys. 2025. doi:10.1051/0004-6361/202451654. arXiv:2407.17561

    2025 arXiv

  128. [136]

    A Parallel Monte Carlo Code for Simulating Collisional N-body Systems

    Pattabiraman, Bharath and Umbreit, Stefan and Liao, Wei-Keng and Choudhary, Alok and Kalogera, Vassiliki and Memik, Gokhan and Rasio, Frederic A. A Parallel Monte Carlo Code for Simulating Collisional N-body Systems. Astrophys. J. Suppl. 2013. doi:10.1088/0067-0049/204/2/15. a...

    2013 arXiv

  129. [137]

    Martinez, Maia A. S. and O'Connor, Christopher E. and K ro g lu, Fulya and Rasio, Frederic A. Getting Tilted: Random Walk of Binary Black Hole Spin-Orbit Alignment in Dense Star Clusters. 2026. arXiv:2606.21691

    2026 arXiv

  130. [138]

    Formation of rotating supergiants via stellar mergers in dense clusters: Implications for black hole natal spins

    Satish, Ishaan and Kremer, Kyle and K ro g lu, Fulya and Tsuna, Daichi and Aran, Shahed Shayan. Formation of rotating supergiants via stellar mergers in dense clusters: Implications for black hole natal spins. 2026. arXiv:2607.05495

    2026 arXiv

  131. [139]

    Nonparametric analysis of correlations in the binary black hole population with LIGO-Virgo-KAGRA data , author =. Phys. Rev. D , volume =. 2025 , month =. doi:10.1103/PhysRevD.111.L061305 , url =

    2025 doi

  132. [140]

    Nonparametric analysis of correlations in the binary black hole population with LIGO-Virgo-KAGRA data

    Heinzel, Jack and Mould, Matthew and Vitale, Salvatore. Nonparametric analysis of correlations in the binary black hole population with LIGO-Virgo-KAGRA data. Phys. Rev. D. 2025. doi:10.1103/PhysRevD.111.L061305. arXiv:2406.16844

    2025 arXiv

  133. [142]

    When (not) to trust Monte Carlo approximations for hierarchical Bayesian inference

    Heinzel, Jack and Vitale, Salvatore. When (not) to trust Monte Carlo approximations for hierarchical Bayesian inference. 2025. arXiv:2509.07221

    2025 arXiv

  134. [143]

    Transitions in the Mass-ratio and Spin Properties of Binary Black Holes in GWTC-5

    Flanagan, Elizabeth and Antonini, Fabio and Callister, Thomas and Chattopadhyay, Debatri and Dosopoulou, Fani and Romero-Shaw, Isobel and Stegmann, Jakob. Transitions in the Mass-ratio and Spin Properties of Binary Black Holes in GWTC-5. 2026. arXiv:2606.14472

    2026

  135. [144]

    Distinct spin properties and astrophysical origin of low mass binary black holes in gravitational wave data

    Flanagan, Elizabeth and Stegmann, Jakob and Romero-Shaw, Isobel and Callister, Thomas and Olejak, Aleksandra and Antonini, Fabio. Distinct spin properties and astrophysical origin of low mass binary black holes in gravitational wave data. 2026. arXiv:2607.00565

    2026 arXiv

  136. [145]

    The Implications of High BH Spins on the Origin of BH BH Mergers

    Olejak, Aleksandra and Belczynski, Krzysztof. The Implications of High BH Spins on the Origin of BH BH Mergers. Astrophys. J. Lett. 2021. doi:10.3847/2041-8213/ac2f48. arXiv:2109.06872

    2021 arXiv

  137. [146]

    Unequal-mass, highly-spinning binary black hole mergers in the stable mass transfer formation channel

    Olejak, Aleksandra and Klencki, Jakub and Xu, Xiao-Tian and Wang, Chen and Belczynski, Krzysztof and Lasota, Jean-Pierre. Unequal-mass, highly-spinning binary black hole mergers in the stable mass transfer formation channel. Astron. Astrophys. 2024. doi:10.1051/0004-6361/20245...

    2024 arXiv

  138. [147]

    Nowhere Left to Hide: Revealing Realistic Gravitational-wave Populations in High Dimensions and High Resolution with PixelPop

    Alvarez-Lopez, Sofia and Heinzel, Jack and Mould, Matthew and Vitale, Salvatore. Nowhere Left to Hide: Revealing Realistic Gravitational-wave Populations in High Dimensions and High Resolution with PixelPop. Astrophys. J. Lett. 2026. doi:10.3847/2041-8213/ae81a9. arXiv:2506.20731

    2026 arXiv

  139. [148]

    Low-mass failed supernovae and the 10\,M_ peak in the merging black hole mass distribution

    Legred, Isaac and Golomb, Jacob and Chatziioannou, Katerina. Low-mass failed supernovae and the 10\,M_ peak in the merging black hole mass distribution. 2026. arXiv:2604.01420

    2026

  140. [149]

    The Emergence of Structure in the Binary Black Hole Mass Distribution

    Tiwari, Vaibhav and Fairhurst, Stephen. The Emergence of Structure in the Binary Black Hole Mass Distribution. Astrophys. J. Lett. 2021. doi:10.3847/2041-8213/abfbe7. arXiv:2011.04502

    2021 arXiv

  141. [150]

    Examining the Gap in the Chirp Mass Distribution of Binary Black Holes

    Tiwari, Vaibhav. Examining the Gap in the Chirp Mass Distribution of Binary Black Holes. Astrophys. J. 2025. doi:10.3847/1538-4357/ae2260. arXiv:2507.15697

    2025

  142. [151]

    The Chirp-Mass Ladder: A New Rung Emerges

    Tiwari, Vaibhav. The Chirp-Mass Ladder: A New Rung Emerges. 2026. arXiv:2606.18081

    2026 arXiv

  143. [152]

    Smoking-gun evidence for hierarchical black-hole mergers

    Li, Yin-Jie and Wang, Yuan-Zhu and Tang, Shao-Peng and Fan, Yi-Zhong. Smoking-gun evidence for hierarchical black-hole mergers. 2026. arXiv:2607.01121

    2026 arXiv

  144. [153]

    Uncovering Hierarchical Sub-Population of Binary Black Holes

    Zeeshan, Muhammad and O'Shaughnessy, Richard. Uncovering Hierarchical Sub-Population of Binary Black Holes. 2026. arXiv:2607.15431

    2026 arXiv

  145. [154]

    Second-Generation Mass Peak in the Gravitational-Wave Population as a Probe of Globular Clusters

    Ginat, Yonadav Barry and Antonini, Fabio and Flanagan, Elizabeth and Gieles, Mark. Second-Generation Mass Peak in the Gravitational-Wave Population as a Probe of Globular Clusters. 2026. arXiv:2604.07456

    2026 arXiv

  146. [155]

    Schneider, F. R. N. and Podsiadlowski, Ph. and M. Pre-supernova evolution, compact object masses and explosion properties of stripped binary stars. Astron. Astrophys. 2021. doi:10.1051/0004-6361/202039219. arXiv:2008.08599

    2021 arXiv

  147. [156]

    Characterizing the Observation Bias in Gravitational-wave Detections and Finding Structured Population Properties

    Veske, Do g a and Bartos, Imre and M \'a rka, Zsuzsa and M \'a rka, Szabolcs. Characterizing the Observation Bias in Gravitational-wave Detections and Finding Structured Population Properties. Astrophys. J. 2021. doi:10.3847/1538-4357/ac27ac. arXiv:2105.13983

    2021 arXiv

  148. [157]

    FIGARO: hierarchical non-parametric inference for population studies

    Rinaldi, Stefano and Del Pozzo, Walter. FIGARO: hierarchical non-parametric inference for population studies. Class. Quant. Grav. 2021. doi:10.1088/1361-6382/ac0b54

    2021 doi

  149. [158]

    Ain't No Mountain High Enough: Semiparametric Modeling of LIGO--Virgo's Binary Black Hole Mass Distribution

    Edelman, Bruce and Doctor, Zoheyr and Godfrey, Jaxen and Farr, Ben. Ain't No Mountain High Enough: Semiparametric Modeling of LIGO--Virgo's Binary Black Hole Mass Distribution. Astrophys. J. 2022. doi:10.3847/1538-4357/ac3667. arXiv:2109.06137

    2022 arXiv

  150. [159]

    Flexible and fast estimation of binary merger population distributions with an adaptive kernel density estimator

    Sadiq, Jam and Dent, Thomas and Wysocki, Daniel. Flexible and fast estimation of binary merger population distributions with an adaptive kernel density estimator. Phys. Rev. D. 2022. doi:10.1103/PhysRevD.105.123014

    2022 doi

  151. [160]

    Binary Vision: The Mass Distribution of Merging Binary Black Holes via Iterative Density Estimation

    Sadiq, Jam and Dent, Thomas and Gieles, Mark. Binary Vision: The Mass Distribution of Merging Binary Black Holes via Iterative Density Estimation. Astrophys. J. 2024. doi:10.3847/1538-4357/ad0ce6. arXiv:2307.12092

    2024 arXiv

  152. [161]

    Cover Your Basis: Comprehensive Data-driven Characterization of the Binary Black Hole Population

    Edelman, Bruce and Farr, Ben and Doctor, Zoheyr. Cover Your Basis: Comprehensive Data-driven Characterization of the Binary Black Hole Population. Astrophys. J. 2023. doi:10.3847/1538-4357/acb5ed. arXiv:2210.12834

    2023 arXiv

  153. [162]

    and Farr, Will M

    Callister, Thomas A. and Farr, Will M. A Parameter-Free Tour of the Binary Black Hole Population. Phys. Rev. X. 2024. doi:10.1103/PhysRevX.14.021005. arXiv:2302.07289

    2024 arXiv

  154. [163]

    Evidence for the evolution of the black hole mass function with redshift

    Rinaldi, Stefano and Del Pozzo, Walter and Mapelli, Michela and Lorenzo-Medina, Ana and Dent, Thomas. Evidence for the evolution of the black hole mass function with redshift. Astron. Astrophys. 2024. doi:10.1051/0004-6361/202348161. arXiv:2310.03074

    2024 arXiv

  155. [164]

    GWTC-4.0: Population Properties of Merging Compact Binaries

    LIGO Scientific Collaboration and Virgo Collaboration and KAGRA Collaboration. GWTC-4.0: Population Properties of Merging Compact Binaries. Astrophys. J. Lett. 2026. doi:10.3847/2041-8213/ae771e. arXiv:2508.18083

    2026 arXiv

  156. [165]

    Cosmic Cousins: Identification of a Subpopulation of Binary Black Holes Consistent with Isolated Binary Evolution

    Godfrey, Jaxen and Edelman, Bruce and Farr, Ben. Cosmic Cousins: Identification of a Subpopulation of Binary Black Holes Consistent with Isolated Binary Evolution. 2023. arXiv:2304.01288

    2023 arXiv

  157. [166]

    and Thrane, Eric and Mandel, Ilya

    Adamcewicz, Christian and Lasky, Paul D. and Thrane, Eric and Mandel, Ilya. No Evidence for a Dip in the Binary Black Hole Mass Spectrum. Astrophys. J. 2024. doi:10.3847/1538-4357/ad7ea8. arXiv:2406.11111

    2024 arXiv

  158. [167]

    Exploring Features in the Binary Black Hole Population

    Tiwari, Vaibhav. Exploring Features in the Binary Black Hole Population. Astrophys. J. 2022. doi:10.3847/1538-4357/ac589a. arXiv:2111.13991

    2022 arXiv

  159. [168]

    and Edelman, Bruce and Zevin, Michael and Fishbach, Maya and Ezquiaga, Jose Mar \'i a and Farr, Ben and Holz, Daniel E

    Farah, Amanda M. and Edelman, Bruce and Zevin, Michael and Fishbach, Maya and Ezquiaga, Jose Mar \'i a and Farr, Ben and Holz, Daniel E. Things That Might Go Bump in the Night: Assessing Structure in the Binary Black Hole Mass Spectrum. Astrophys. J. 2023. doi:10.3847/1538-435...

    2023 arXiv

  160. [169]

    Roy, Soumendra Kishore and van Son, Lieke A. C. and Farr, Will M. A Mid-Thirties Crisis: Dissecting the Properties of Gravitational Wave Sources Near the 35 Solar Mass Peak. Class. Quant. Grav. 2025. doi:10.1088/1361-6382/ae1921. arXiv:2507.01086

    2025

  161. [170]

    Where Are LIGO's Big Black Holes?

    Fishbach, Maya and Holz, Daniel E. Where Are LIGO's Big Black Holes?. Astrophys. J. Lett. 2017. doi:10.3847/2041-8213/aa9bf6. arXiv:1709.08584

    2017 arXiv

  162. [171]

    and Zevin, Michael and Chatterjee, Deep and Clarke, Teagan A

    Essick, Reed and Coughlin, Michael W. and Zevin, Michael and Chatterjee, Deep and Clarke, Teagan A. and Mali, Utkarsh and Miller, Simona and Steinle, Nathan and Baral, Pratyusava and Baylor, Amanda C. and Cabourn Davies, Gareth and Dent, Thomas and Joshi, Prathamesh and Kumar,...

    2025

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