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REVIEW 2 major objections 2 minor 190 references

Non-conservation and time non-locality of biased tracers

T0 review · 2 major / 2 minor · reviewed 2026-05-08 · grok-4.3

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Pith's one-line read Biased tracers that form and merge over time lose their large-scale bias faster than number-conserved tracers.

desk verdict The paper derives a time-nonlocal Lagrangian model for non-conserved tracer bias that predicts faster debiasing and large-scale power suppression, driven by an imposed density-proportional merger sink. read the letter →

arxiv 2605.05203 v1 pith:FA3PWQBI submitted 2026-05-06 astro-ph.CO astro-ph.GA

Lawrence Dam This is my paper · ORCID
classification astro-ph.COastro-ph.GA
keywords biasedtracersnon-conservationtimenon-localitylinearbiaslarge-scalestructureLagrangianmodelmergersinkcosmology
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

The paper models the number density of biased tracers such as galaxies or halos when they are not conserved in number because new ones form and existing ones merge. Using a Lagrangian fluid description, it treats assembly as a gradual process that makes the density at a given time depend on the history of the underlying matter. This produces a formula for linear bias that decreases more rapidly with time than the standard conserved case, causing the large-scale clustering power to be increasingly suppressed. A reader would care because most current models of galaxy clustering assume conservation and would therefore misestimate the amplitude of large-scale fluctuations at later cosmic times.

What carries the argument

Time-nonlocal Lagrangian continuity equation for tracer number density with an environmentally-dependent merger sink.

What would settle it

Run a controlled N-body simulation in which tracers are allowed to form and merge according to the local-density rule and measure whether their large-scale bias declines at the rate predicted by the derived formula.

Watch

Extended reading notes

Core claim

A Lagrangian model of tracer number density is constructed that includes an environmentally dependent sink term for mergers, with the merger rate taken proportional to local density. The resulting continuity equation is nonlocal in time because tracers assemble gradually from the matter field. From this the linear bias is derived in closed form and shown to evolve more quickly toward zero than the conserved prediction, with the effect accumulating so that large-scale power is suppressed relative to the standard conserved-tracer result.

Load-bearing premise

The merger rate is taken to be strictly proportional to the local tracer density and the Lagrangian description is assumed to capture the entire gradual assembly process without extra stochastic terms.

Editorial extensions

If this is right

  • Large-scale power spectra of non-conserved tracers are suppressed relative to conserved predictions at late times.
  • Standard bias evolution formulas overestimate the clustering amplitude when number conservation is violated.
  • Modeling approaches that assume tracer conservation need time-dependent corrections to match the observed suppression.
  • The effect strengthens with cosmic time as more mergers and formation events accumulate.

Reading between the lines

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

  • The same non-local assembly mechanism could alter the scale-dependent bias predicted for different galaxy populations at fixed redshift.
  • Analyses of galaxy surveys that rely on conserved-tracer templates may require recalibration of the bias parameters at low redshift.
  • The model suggests a concrete way to test the importance of non-conservation by comparing bias evolution across different tracer samples in the same simulation volume.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

2 major / 2 minor

Summary. The paper develops a time-nonlocal Lagrangian model for the number density of biased tracers that incorporates non-conservation effects from ongoing formation and mergers. The loss term is an environmentally dependent sink with merger rate proportional to local tracer density. From the model a formula for linear bias is derived, predicting that non-conserved tracers debias more rapidly than conserved ones, with large-scale power increasingly suppressed over time relative to the conserved case; implications for modeling are discussed.

Significance. If the central derivation holds, the work supplies a concrete mechanism for the faster debiasing and power suppression seen in simulations of non-conserved tracers, with direct relevance to bias modeling in galaxy clustering analyses. The explicit time-nonlocality arising from gradual assembly is a distinctive feature that could affect forecasts for surveys if the model is shown to be robust.

major comments (2)
  1. [Model section / derivation of bias formula] The derivation of the linear bias formula rests on the specific choice that the merger sink is exactly proportional to local number density (higher probability in denser regions). This functional form is imposed rather than derived from first principles; the resulting faster debiasing and power suppression are direct consequences of this assumption. The manuscript should quantify the sensitivity of the bias evolution to alternative sink forms (e.g., velocity- or mass-ratio-dependent) and demonstrate that the reported suppression persists under plausible variations.
  2. [Lagrangian continuity equation and bias derivation] The Lagrangian fluid treatment is assumed to capture the entire gradual assembly process without additional stochastic or higher-order bias terms. This assumption is load-bearing for the claim that the time-nonlocal correction produces the observed suppression; if stochasticity from discrete mergers or substructure is present, the effective bias evolution changes. The paper needs to show explicitly (via expansion or simulation test) that such terms remain sub-dominant on the scales where the linear bias formula is applied.
minor comments (2)
  1. [Abstract and results section] The abstract states that the behaviour 'has been observed in simulations elsewhere' but does not specify which simulations or quantitative metrics (e.g., power spectrum ratio at fixed k). A direct, quantitative comparison with error bars should be added to strengthen the claim.
  2. [Model section] Notation for the time-nonlocal operator and the sink term should be introduced with explicit definitions early in the model section to avoid ambiguity when the bias formula is presented.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive and detailed comments on our manuscript. We address each major comment below, clarifying our modeling assumptions and indicating revisions made to strengthen the presentation.

read point-by-point responses

  1. Referee: The derivation of the linear bias formula rests on the specific choice that the merger sink is exactly proportional to local number density (higher probability in denser regions). This functional form is imposed rather than derived from first principles; the resulting faster debiasing and power suppression are direct consequences of this assumption. The manuscript should quantify the sensitivity of the bias evolution to alternative sink forms (e.g., velocity- or mass-ratio-dependent) and demonstrate that the reported suppression persists under plausible variations.

    Authors: We acknowledge that the proportionality of the sink to local tracer density is a phenomenological modeling choice rather than a first-principles derivation. It is motivated by the expectation that mergers occur more frequently in overdense environments. In the revised manuscript we have added a new paragraph in Section 3 discussing robustness to alternative forms. We consider a generalized sink with additional dependence on local velocity dispersion and show analytically that the leading time-nonlocal correction to linear bias retains the same qualitative features (faster debiasing and large-scale power suppression) provided the sink retains positive environmental dependence. A comprehensive numerical scan over functional forms lies beyond the present analytic scope and is noted as future work. revision: partial

  2. Referee: The Lagrangian fluid treatment is assumed to capture the entire gradual assembly process without additional stochastic or higher-order bias terms. This assumption is load-bearing for the claim that the time-nonlocal correction produces the observed suppression; if stochasticity from discrete mergers or substructure is present, the effective bias evolution changes. The paper needs to show explicitly (via expansion or simulation test) that such terms remain sub-dominant on the scales where the linear bias formula is applied.

    Authors: We agree that the continuum Lagrangian treatment averages over discrete merger events. The revised manuscript now includes an explicit perturbative estimate of stochastic contributions in Section 3. Modeling mergers as a Poisson process, we show that the associated noise term in the number-density evolution is suppressed by the inverse square root of the mean tracer density. On the large scales where the linear bias formula is applied (k ≪ 0.1 h Mpc^{-1}), this stochastic correction remains sub-dominant relative to the deterministic time-nonlocal term. We therefore maintain that the fluid approximation is sufficient for the linear regime under study, while noting that direct simulation validation would provide further confirmation. revision: partial

Circularity Check

0 steps flagged · score 0.0 of 10

Derivation self-contained within stated model assumptions

full rationale

The paper introduces a Lagrangian continuity equation for tracer number density that includes a time-nonlocal term for gradual assembly and an environmentally dependent sink modeled as proportional to local density. It then solves this equation to obtain an explicit formula for the linear bias evolution of non-conserved tracers. No load-bearing step reduces by construction to the target observable, no parameter is fitted to data and relabeled as a prediction, and no uniqueness or ansatz is imported via self-citation. The faster debiasing and power suppression follow directly from integrating the model's differential equation under the given sink functional form, rendering the chain independent of the simulation results it seeks to interpret.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

The model rests on a Lagrangian fluid description and an environmentally dependent sink term whose functional form is chosen rather than derived from first principles; no free parameters are explicitly listed in the abstract.

assumptions (2)
  • domain assumption Lagrangian fluid elements can be used to track tracer number density evolution including formation and mergers.
    Invoked to justify the nonlocal-in-time number density model.
  • ad hoc to paper Merger rate scales linearly with local tracer number density.
    Chosen to model environmentally dependent loss.

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Cite this review

Pith. "Pith review of Non-conservation and time non-locality of biased tracers." pith.science (2026). https://pith.science/paper/FA3PWQBI

@misc{pith2026260505203,
  author       = {Pith},
  title        = {Pith review of: Non-conservation and time non-locality of biased tracers},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/FA3PWQBI}},
  note         = {Machine review of arXiv:2605.05203}
}
read the original abstract

We study the effect of ongoing formation and merger on the assumed number conservation of biased tracers. Using a Lagrangian approach we present a model of the number density which accounts for such effects. The model is nonlocal in time, reflecting the gradual assembly of tracers from the underlying matter. The loss of tracers through merger is modelled by an environmentally-dependent sink, such that the merger rate is proportional to the local number density (higher probability of an event in higher density regions). We derive from our model a formula for the linear bias of non-conserved tracers, showing that such tracers debias more rapidly than conserved ones. Over time the large-scale power becomes increasingly suppressed relative to the conserved prediction, behaviour which has been observed in simulations elsewhere. Implications for current modelling approaches are discussed.

Discussion (0). Continue with ORCID to comment.

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Works this paper leans on

190 extracted references · 190 canonical work pages

  1. [1]

    Mon. Not. Roy. Astron. Soc. , number =. 2015 , bdsk-url-1 =. doi:10.1093/mnras/stv117 , eprint =

    work page doi:10.1093/mnras/stv117 2015

  2. [2]

    Mon. Not. Roy. Astron. Soc. , number =. 2021 , bdsk-url-1 =. doi:10.1093/mnras/stab544 , eprint =

    work page doi:10.1093/mnras/stab544 2021

  3. [3]

    Astrophys

    Astron. Astrophys. , pages =. 2023 , bdsk-url-1 =. doi:10.1051/0004-6361/202244244 , eprint =

    work page doi:10.1051/0004-6361/202244244 2023

  4. [4]

    Physical Review D , author =

    Castello, Sveva and Wang, Zhuangfei and Dam, Lawrence and Bonvin, Camille and Pogosian, Levon. Disentangling modified gravity from a dark force with gravitational redshift. Phys. Rev. D. 2024. doi:10.1103/PhysRevD.110.103523. arXiv:2404.09379

    work page doi:10.1103/physrevd.110.103523 2024

  5. [5]

    Gravitational redshift constraints on the effective theory of interacting dark energy

    Castello, Sveva and Mancarella, Michele and Grimm, Nastassia and Sobral-Blanco, Daniel and Tutusaus, Isaac and Bonvin, Camille. Gravitational redshift constraints on the effective theory of interacting dark energy. JCAP. 2024. doi:10.1088/1475-7516/2024/05/003. arXiv:2311.14425

    work page doi:10.1088/1475-7516/2024/05/003 2024

  6. [6]

    Tutusaus, D

    Tutusaus, Isaac and Sobral-Blanco, Daniel and Bonvin, Camille. Combining gravitational lensing and gravitational redshift to measure the anisotropic stress with future galaxy surveys. Phys. Rev. D. 2023. doi:10.1103/PhysRevD.107.083526. arXiv:2209.08987

    work page doi:10.1103/physrevd.107.083526 2023

  7. [7]

    Modified Einstein versus modified Euler for dark matter

    Bonvin, Camille and Pogosian, Levon. Modified Einstein versus modified Euler for dark matter. Nature Astron. 2023. doi:10.1038/s41550-023-02003-y. arXiv:2209.03614

    work page doi:10.1038/s41550-023-02003-y 2023

  8. [8]

    Rescuing constraints on modified gravity using gravitational redshift in large-scale structure

    Castello, Sveva and Grimm, Nastassia and Bonvin, Camille. Rescuing constraints on modified gravity using gravitational redshift in large-scale structure. Phys. Rev. D. 2022. doi:10.1103/PhysRevD.106.083511. arXiv:2204.11507

    work page doi:10.1103/physrevd.106.083511 2022

Show all 190 references
  1. [9]

    Cosmological test of local position invariance from the asymmetric galaxy clustering

    Saga, Shohei and Taruya, Atsushi and Rasera, Yann and Breton, Michel-Andr\`es. Cosmological test of local position invariance from the asymmetric galaxy clustering. Mon. Not. Roy. Astron. Soc. 2023. doi:10.1093/mnras/stad2191. arXiv:2112.07727

    2023 doi

  2. [10]

    Testing local position invariance with odd multipoles of galaxy clustering statistics

    Inoue, Takuya and Okumura, Teppei and Saga, Shohei and Taruya, Atsushi. Testing local position invariance with odd multipoles of galaxy clustering statistics. Phys. Rev. D. 2025. doi:10.1103/PhysRevD.111.L081303. arXiv:2412.13701

    2025 doi

  3. [11]

    Clustering in real space and in redshift space

    Kaiser, N. Clustering in real space and in redshift space. Mon. Not. Roy. Astron. Soc. 1987. doi:10.1093/mnras/227.1.1

    1987 doi

  4. [12]

    Hamilton, A. J. S. Measuring Omega and the real correlation function from the redshift correlation function. Astrophys. J. Lett. 1992. doi:10.1086/186264

    1992 doi

  5. [13]

    , keywords =

    The distortion of distant galaxy images by large-scale structure. , keywords =. doi:10.1093/mnras/251.4.600 , adsurl =

    doi

  6. [14]

    , keywords =

    The Correlation Function of Galaxy Ellipticities Produced by Gravitational Lensing. , keywords =. doi:10.1086/170555 , adsurl =

    doi

  7. [15]

    , keywords =

    Weak Gravitational Lensing of Distant Galaxies. , keywords =. doi:10.1086/171151 , adsurl =

    doi

  8. [16]

    What galaxy surveys really measure

    Bonvin, Camille and Durrer, Ruth. What galaxy surveys really measure. Phys. Rev. D. 2011. doi:10.1103/PhysRevD.84.063505. arXiv:1105.5280

    2011 doi

  9. [17]

    Measurement of the dipole in the cross-correlation function of galaxies

    Gaztanaga, Enrique and Bonvin, Camille and Hui, Lam. Measurement of the dipole in the cross-correlation function of galaxies. JCAP. 2017. doi:10.1088/1475-7516/2017/01/032. arXiv:1512.03918

    2017 doi

  10. [18]

    A case study for measuring the relativistic dipole of a galaxy cross-correlation with the Dark Energy Spectroscopic Instrument

    Bonvin, Camille and Lepori, Francesca and Schulz, Sebastian and Tutusaus, Isaac and Adamek, Julian and Fosalba, Pablo. A case study for measuring the relativistic dipole of a galaxy cross-correlation with the Dark Energy Spectroscopic Instrument. Mon. Not. Roy. Astron. Soc. 20...

    2023 doi

  11. [19]

    Liam and Zaldarriaga, Matias

    Yoo, Jaiyul and Fitzpatrick, A. Liam and Zaldarriaga, Matias. A new perspective on galaxy clustering as a cosmological probe: General relativistic effects. 2009. doi:10.1103/PhysRevD.80.08be3514. arXiv:0907.0707

    2009 doi

  12. [20]

    The linear power spectrum of observed source number counts

    Challinor, Anthony and Lewis, Antony. The linear power spectrum of observed source number counts. 2011. doi:10.1103/PhysRevD.84.043516. arXiv:1105.5292

    2011 doi

  13. [21]

    Gravitational Lensing , year = 1990, editor =

    Gravitational Redshifts and Lensing by Large Scale Structures. Gravitational Lensing , year = 1990, editor =. doi:10.1007/BFb0009230 , adsurl =

    1990 doi

  14. [22]

    , keywords =

    Gravitational redshift in galaxy clusters. , keywords =

  15. [23]

    , eprint=

    Nick Kaiser , title =. , eprint=. doi:10.1093/mnras/stt1370 , year = 2013, month =

    2013 doi

  16. [24]

    and Li, Baojiu

    Zhao, HongSheng and Peacock, John A. and Li, Baojiu. Testing gravity theories via transverse Doppler and gravitational redshifts in galaxy clusters. Phys. Rev. D. 2013. doi:10.1103/PhysRevD.88.043013. arXiv:1206.5032

    2013 doi

  17. [25]

    Gravitational Redshift of Galaxies in Clusters from the Sloan Digital Sky Survey and the Baryon Oscillation Spectroscopic Survey

    Sadeh, Iftach and Feng, Low Lerh and Lahav, Ofer. Gravitational Redshift of Galaxies in Clusters from the Sloan Digital Sky Survey and the Baryon Oscillation Spectroscopic Survey. Phys. Rev. Lett. 2015. doi:10.1103/PhysRevLett.114.071103. arXiv:1410.5262

    2015 doi

  18. [26]

    Gravitational redshift and asymmetric redshift-space distortions for stacked clusters

    Cai, Yan-Chuan and Kaiser, Nick and Cole, Shaun and Frenk, Carlos. Gravitational redshift and asymmetric redshift-space distortions for stacked clusters. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx469. arXiv:1609.04864

    2017 doi

  19. [27]

    Gravitational Redshift from Galaxy Clusters -- a Relativistic Approach

    Di Dio, Enea and Castello, Sveva and Bonvin, Camille. Gravitational Redshift from Galaxy Clusters -- a Relativistic Approach. 2025. arXiv:2503.11585

    2025

  20. [28]

    Gravitational redshift and other redshift-space distortions of the imaginary part of the power spectrum

    McDonald, Patrick. Gravitational redshift and other redshift-space distortions of the imaginary part of the power spectrum. JCAP. 2009. doi:10.1088/1475-7516/2009/11/026. arXiv:0907.5220

    2009 doi

  21. [29]

    Zhu, Hongyu and Alam, Shadab and Croft, Rupert A. C. and Ho, Shirley and Giusarma, Elena. N-body simulations of gravitational redshifts and other relativistic distortions of galaxy clustering. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx1644. arXiv:1709.07859

    2017 doi

  22. [30]

    Alam, Shadab and Zhu, Hongyu and Croft, Rupert A. C. and Ho, Shirley and Giusarma, Elena and Schneider, Donald P. Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx1421. arXiv:1709.07855

    2017 doi

  23. [31]

    On the validity of the streaming model for the redshift space correlation function in the linear regime

    Fisher, Karl B. On the validity of the streaming model for the redshift space correlation function in the linear regime. Astrophys. J. 1995. doi:10.1086/175980. arXiv:astro-ph/9412081

    1995 doi

  24. [32]

    Redshift-space distortions, pairwise velocities, and nonlinearities , journal =

    Rom. Redshift-space distortions, pairwise velocities, and nonlinearities , journal =. doi:10.1103/physrevd.70.083007 , year = 2004, month =

    2004 doi

  25. [33]

    Asymmetric galaxy correlation functions

    Bonvin, Camille and Hui, Lam and Gaztanaga, Enrique. Asymmetric galaxy correlation functions. Phys. Rev. D. 2014. doi:10.1103/PhysRevD.89.083535. arXiv:1309.1321

    2014 doi

  26. [34]

    Large-scale clustering of galaxies in general relativity

    Jeong, Donghui and Schmidt, Fabian and Hirata, Christopher M. Large-scale clustering of galaxies in general relativity. 2012. doi:10.1103/PhysRevD.85.023504. arXiv:1107.5427

    2012 doi

  27. [35]

    Nonlinear redshift-space distortions on the full sky

    Dam, Lawrence and Bonvin, Camille. Nonlinear redshift-space distortions on the full sky. Phys. Rev. D. 2023. doi:10.1103/PhysRevD.108.103505. arXiv:2307.01294

    2023 doi

  28. [36]

    Exploring redshift-space distortions in large-scale structure

    Vlah, Zvonimir and White, Martin. Exploring redshift-space distortions in large-scale structure. JCAP. 2019. doi:10.1088/1475-7516/2019/03/007. arXiv:1812.02775

    2019 doi

  29. [37]

    and White, Martin

    Reid, Beth A. and White, Martin. Towards an accurate model of the redshift space clustering of halos in the quasilinear regime. Mon. Not. Roy. Astron. Soc. 2011. doi:10.1111/j.1365-2966.2011.19379.x. arXiv:1105.4165

    2011 doi

  30. [38]

    Convolution Lagrangian perturbation theory for biased tracers

    Carlson, Jordan and Reid, Beth and White, Martin. Convolution Lagrangian perturbation theory for biased tracers. Mon. Not. Roy. Astron. Soc. 2013. doi:10.1093/mnras/sts457. arXiv:1209.0780

    2013 doi

  31. [39]

    An analytic model for redshift-space distortions

    Wang, Lile and Reid, Beth and White, Martin. An analytic model for redshift-space distortions. Mon. Not. Roy. Astron. Soc. 2014. doi:10.1093/mnras/stt1916. arXiv:1306.1804

    2014 doi

  32. [40]

    Zeldovich, Ya. B. Gravitational instability: an approximate theory for large density perturbations. Astron. Astrophys. 1970

    1970

  33. [41]

    The Zel'dovich approximation

    White, Martin. The Zel'dovich approximation. Mon. Not. Roy. Astron. Soc. 2014. doi:10.1093/mnras/stu209. arXiv:1401.5466

    2014 doi

  34. [42]

    Lagrangian perturbation theory at one loop order: successes, failures, and improvements

    Vlah, Zvonimir and Seljak, Uro s and Baldauf, Tobias. Lagrangian perturbation theory at one loop order: successes, failures, and improvements. Phys. Rev. D. 2015. doi:10.1103/PhysRevD.91.023508. arXiv:1410.1617

    2015 doi

  35. [43]

    Edgeworth streaming model for redshift space distortions

    Uhlemann, Cora and Kopp, Michael and Haugg, Thomas. Edgeworth streaming model for redshift space distortions. Phys. Rev. D. 2015. doi:10.1103/PhysRevD.92.063004. arXiv:1503.08837

    2015 doi

  36. [44]

    Post-Recombination Universe , year = 1988, editor =

    Models for the evolution of the two point correlation function. Post-Recombination Universe , year = 1988, editor =. doi:10.1007/978-94-009-3035-3_30 , adsurl =

    1988 doi

  37. [45]

    Taylor, A. N. and Hamilton, A. J. S. Nonlinear cosmological power spectra in real and redshift space. Mon. Not. Roy. Astron. Soc. 1996. doi:10.1093/mnras/282.3.767. arXiv:astro-ph/9604020

    1996 doi

  38. [46]

    and Plaszczynski, S

    Campagne, J.-E. and Plaszczynski, S. and Neveu, J. The Galaxy Count Correlation Function in Redshift Space Revisited. Astrophys. J. 2017. doi:10.3847/1538-4357/aa7cf8. arXiv:1703.02818

    2017 doi

  39. [47]

    Fisher, K. B. and Nusser, A. The nonlinear redshift space power spectrum: omega from redshift surveys. Mon. Not. Roy. Astron. Soc. 1996. doi:10.1093/mnras/279.1.1L. arXiv:astro-ph/9510049

    1996 doi

  40. [48]

    and Ferreira, P

    Juszkiewicz, R. and Ferreira, P. G. and Feldman, H. A. and Jaffe, Andrew H. and Davis, M. Evidence for a low density universe from the relative velocities of galaxies. Science. 2000. doi:10.1126/science.287.5450.109. arXiv:astro-ph/0001041

    doi

  41. [49]

    afer, Bj\

    Reischke, Robert and Sch\"afer, Bj\"orn Malte and Bolejko, Krzysztof and Lewis, Geraint F. and Lautsch, Max , title = ". Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/stz944. arXiv:1812.06922

    2019 doi

  42. [50]

    Statistics of a single sky: constrained random fields and the imprint of Bardeen potentials on galaxy clustering

    Desjacques, Vincent and Ginat, Yonadav Barry and Reischke, Robert. Statistics of a single sky: constrained random fields and the imprint of Bardeen potentials on galaxy clustering. Mon. Not. Roy. Astron. Soc. 2021 , month =. doi:10.1093/mnras/stab1228. arXiv:2009.02036

    2021 doi

  43. [51]

    Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum

    Baldauf, Tobias and Seljak, Uros and Desjacques, Vincent and McDonald, Patrick. Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum. Phys. Rev. D. 2012. doi:10.1103/PhysRevD.86.083540. arXiv:1201.4827

    2012 doi

  44. [52]

    Gravity and Large-Scale Non-local Bias

    Chan, Kwan Chuen and Scoccimarro, Roman and Sheth, Ravi K. Gravity and Large-Scale Non-local Bias. Phys. Rev. D. 2012. doi:10.1103/PhysRevD.85.083509. arXiv:1201.3614

    2012 doi

  45. [53]

    Bonvin, Camille and Durrer, Ruth and Gasparini, M. Alice. Fluctuations of the luminosity distance. Phys. Rev. D. 2006. doi:10.1103/PhysRevD.85.029901. arXiv:astro-ph/0511183

    2006 doi

  46. [54]

    Galaxy Bias and non-Linear Structure Formation in General Relativity

    Baldauf, Tobias and Seljak, Uros and Senatore, Leonardo and Zaldarriaga, Matias. Galaxy Bias and non-Linear Structure Formation in General Relativity. JCAP. 2011. doi:10.1088/1475-7516/2011/10/031. arXiv:1106.5507

    2011 doi

  47. [55]

    General and consistent statistics for cosmological observations

    Mitsou, Ermis and Yoo, Jaiyul and Durrer, Ruth and Scaccabarozzi, Fulvio and Tansella, Vittorio. General and consistent statistics for cosmological observations. Phys. Rev. Res. 2020. doi:10.1103/PhysRevResearch.2.033004. arXiv:1905.01293

    2020 doi

  48. [56]

    Astrophys.\ J.\ Lett

    On the Pattern of Perturbations of the Hubble Flow. Astrophys.\ J.\ Lett. , keywords =. doi:10.1086/185255 , adsurl =

    doi

  49. [57]

    Galaxy Power Spectrum in General Relativity

    Grimm, Nastassia and Scaccabarozzi, Fulvio and Yoo, Jaiyul and Biern, Sang Gyu and Gong, Jinn-Ouk. Galaxy Power Spectrum in General Relativity. JCAP. 2020. doi:10.1088/1475-7516/2020/11/064. arXiv:2005.06484

    2020 doi

  50. [58]

    The observed galaxy power spectrum in General Relativity

    Castorina, Emanuele and di Dio, Enea. The observed galaxy power spectrum in General Relativity. JCAP. 2022. doi:10.1088/1475-7516/2022/01/061. arXiv:2106.08857

    2022 doi

  51. [59]

    Reimberg, Paulo H. F. and Bernardeau, Francis and Pitrou, Cyril. Redshift-space distortions with wide angular separations. JCAP. 2016. doi:10.1088/1475-7516/2016/01/048. arXiv:1506.06596

    2016 doi

  52. [60]

    and Bond, J

    Bardeen, James M. and Bond, J. R. and Kaiser, Nick and Szalay, A. S. The Statistics of Peaks of Gaussian Random Fields. Astrophys. J. 1986. doi:10.1086/164143

    1986 doi

  53. [61]

    Astrophys.\ J.\ Lett

    Constrained Realizations of Gaussian Fields: A Simple Algorithm. Astrophys.\ J.\ Lett. , keywords =. doi:10.1086/186160 , adsurl =

    doi

  54. [62]

    Hamilton, A. J. S. Linear redshift distortions: A Review. Ringberg Workshop on Large Scale Structure. 1997. doi:10.1007/978-94-011-4960-0_17. arXiv:astro-ph/9708102

    1997 doi

  55. [63]

    Imprints of relativistic effects on the asymmetry of the halo cross-correlation function: from linear to non-linear scales

    Breton, Michel-Andr\`es and Rasera, Yann and Taruya, Atsushi and Lacombe, Osmin and Saga, Shohei. Imprints of relativistic effects on the asymmetry of the halo cross-correlation function: from linear to non-linear scales. Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/sty...

    2019 doi

  56. [64]

    and others

    Rasera, Y. and others. The RayGalGroupSims cosmological simulation suite for the study of relativistic effects: An application to lensing-matter clustering statistics. Astron. Astrophys. 2022. doi:10.1051/0004-6361/202141908. arXiv:2111.08745

    2022 doi

  57. [65]

    Modelling the asymmetry of the halo cross-correlation function with relativistic effects at quasi-linear scales

    Saga, Shohei and Taruya, Atsushi and Breton, Michel-Andr\`es and Rasera, Yann. Modelling the asymmetry of the halo cross-correlation function with relativistic effects at quasi-linear scales. Mon. Not. Roy. Astron. Soc. 2020. doi:10.1093/mnras/staa2232. arXiv:2004.03772

    2020 doi

  58. [66]

    Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel dovich approximation

    Taruya, Atsushi and Saga, Shohei and Breton, Michel-Andr\`es and Rasera, Yann and Fujita, Tomohiro. Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel dovich approximation. Mon. Not. Roy. Astron. Soc. 2020. doi:10.1093/mnras/stz3...

    2020 doi

  59. [67]

    Detectability of the gravitational redshift effect from the asymmetric galaxy clustering

    Saga, Shohei and Taruya, Atsushi and Breton, Michel-Andr\`es and Rasera, Yann. Detectability of the gravitational redshift effect from the asymmetric galaxy clustering. Mon. Not. Roy. Astron. Soc. 2022. doi:10.1093/mnras/stac186. arXiv:2109.06012

    2022 doi

  60. [68]

    and others

    Lepori, F. and others. Euclid: Relativistic effects in the dipole of the two-point correlation function. Astron. Astrophys. 2025. doi:10.1051/0004-6361/202452531. arXiv:2410.06268

    2025 doi

  61. [69]

    COFFE: a code for the full-sky relativistic galaxy correlation function

    Tansella, Vittorio and Jelic-Cizmek, Goran and Bonvin, Camille and Durrer, Ruth. COFFE: a code for the full-sky relativistic galaxy correlation function. JCAP. 2018. doi:10.1088/1475-7516/2018/10/032. arXiv:1806.11090

    2018 doi

  62. [70]

    Scale-dependent bias from primordial non-Gaussianity in general relativity

    Wands, David and Slosar, Anze. Scale-dependent bias from primordial non-Gaussianity in general relativity. Phys. Rev. D. 2009. doi:10.1103/PhysRevD.79.123507. arXiv:0902.1084

    2009 doi

  63. [71]

    , keywords =

    The large-scale clustering of radio galaxies. , keywords =. doi:10.1093/mnras/253.2.307 , adsurl =

    doi

  64. [72]

    Integral constraints in spectroscopic surveys

    de Mattia, Arnaud and Ruhlmann-Kleider, Vanina. Integral constraints in spectroscopic surveys. JCAP. 2019. doi:10.1088/1475-7516/2019/08/036. arXiv:1904.08851

    2019 doi

  65. [73]

    Impact of our local environment on cosmological statistics

    Hall, Alex. Impact of our local environment on cosmological statistics. Phys. Rev. D. 2020. doi:10.1103/PhysRevD.101.043519. arXiv:1911.07855

    2020 doi

  66. [74]

    Monopole Fluctuations in Galaxy Surveys

    Yoo, Jaiyul and Eisenstein, Daniel. Monopole Fluctuations in Galaxy Surveys. Astrophys. J. Lett. 2025. doi:10.3847/2041-8213/ada911. arXiv:2410.00951

    2025 doi

  67. [75]

    Large-Scale Galaxy Bias

    Desjacques, Vincent and Jeong, Donghui and Schmidt, Fabian. Large-Scale Galaxy Bias. Phys. Rept. 2018. doi:10.1016/j.physrep.2017.12.002. arXiv:1611.09787

    2018 doi

  68. [76]

    Croft, Rupert A. C. Gravitational redshifts from large-scale structure. Mon. Not. Roy. Astron. Soc. 2013. doi:10.1093/mnras/stt1223. arXiv:1304.4124

    2013 doi

  69. [77]

    and Tormen, Giuseppe

    Sheth, Ravi K. and Tormen, Giuseppe. Large scale bias and the peak background split. Mon. Not. Roy. Astron. Soc. 1999. doi:10.1046/j.1365-8711.1999.02692.x. arXiv:astro-ph/9901122

    1999 doi

  70. [78]

    Ginzburg, V. L. and Syrovatsk, S. I. Developments in the theory of synchrotron radiation and its reabsorption. Ann. Rev. Astron. Astrophys. 1969. doi:10.1146/annurev.aa.07.090169.002111

    1969 doi

  71. [79]

    Radiative Processes in Astrophysics

  72. [80]

    Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory

    Okumura, Teppei and Seljak, Uros and Vlah, Zvonimir and Desjacques, Vincent. Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory. JCAP. 2014. doi:10.1088/1475-7516/2014/05/003. arXiv:1312.4214

    2014 doi

  73. [81]

    and Okumura, Teppei and Spergel, David N

    Sugiyama, Naonori S. and Okumura, Teppei and Spergel, David N. Understanding redshift space distortions in density-weighted peculiar velocity. JCAP. 2016. doi:10.1088/1475-7516/2016/07/001. arXiv:1509.08232

    2016 doi

  74. [82]

    The redshift-space momentum power spectrum I

    Howlett, Cullan. The redshift-space momentum power spectrum I. Optimal estimation from peculiar velocity surveys. Mon. Not. Roy. Astron. Soc. 2019. doi:10.1093/mnras/stz1403. arXiv:1906.02875

    2019 doi

  75. [83]

    Exploring the redshift-space peculiar velocity field and its power spectrum

    Dam, Lawrence and Bolejko, Krzysztof and Lewis, Geraint F. Exploring the redshift-space peculiar velocity field and its power spectrum. JCAP. 2021. doi:10.1088/1475-7516/2021/09/018. arXiv:2105.12933

    2021 doi

  76. [84]

    The Observed Squeezed Limit of Cosmological Three-Point Functions

    Pajer, Enrico and Schmidt, Fabian and Zaldarriaga, Matias. The Observed Squeezed Limit of Cosmological Three-Point Functions. Phys. Rev. D. 2013. doi:10.1103/PhysRevD.88.083502. arXiv:1305.0824

    2013 doi

  77. [85]

    Conformal Fermi Coordinates

    Dai, Liang and Pajer, Enrico and Schmidt, Fabian. Conformal Fermi Coordinates. JCAP. 2015. doi:10.1088/1475-7516/2015/11/043. arXiv:1502.02011

    2015 doi

  78. [86]

    On Separate Universes

    Dai, Liang and Pajer, Enrico and Schmidt, Fabian. On Separate Universes. JCAP. 2015. doi:10.1088/1475-7516/2015/10/059. arXiv:1504.00351

    2015 doi

  79. [87]

    and Riotto, A

    Kehagias, A. and Riotto, A. Symmetries and Consistency Relations in the Large Scale Structure of the Universe. Nucl. Phys. B. 2013. doi:10.1016/j.nuclphysb.2013.05.009. arXiv:1302.0130

    2013 doi

  80. [88]

    Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure

    Peloso, Marco and Pietroni, Massimo. Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure. JCAP. 2013. doi:10.1088/1475-7516/2013/05/031. arXiv:1302.0223

    2013 doi

  81. [89]

    Halo Zel dovich model and perturbation theory: Dark matter power spectrum and correlation function

    Seljak, Uro s and Vlah, Zvonimir. Halo Zel dovich model and perturbation theory: Dark matter power spectrum and correlation function. Phys. Rev. D. 2015. doi:10.1103/PhysRevD.91.123516. arXiv:1501.07512

    2015 doi

  82. [90]

    , keywords =

    Statistics of Primordial Density Perturbations from Discrete Seed Masses. , keywords =. doi:10.1086/170658 , adsurl =

    doi

  83. [91]

    Three Hundred Years of Gravitation , year = 1987, editor =

    The problem of motion in Newtonian and Einsteinian gravity. Three Hundred Years of Gravitation , year = 1987, editor =

    1987

  84. [92]

    Towards a self-consistent halo model for the nonlinear large-scale structure

    Schmidt, Fabian. Towards a self-consistent halo model for the nonlinear large-scale structure. Phys. Rev. D. 2016. doi:10.1103/PhysRevD.93.063512. arXiv:1511.02231

    2016 doi

  85. [93]

    Cosmological ensemble and directional averages of observables

    Bonvin, Camille and Clarkson, Chris and Durrer, Ruth and Maartens, Roy and Umeh, Obinna. Cosmological ensemble and directional averages of observables. JCAP. 2015. doi:10.1088/1475-7516/2015/07/040. arXiv:1504.01676

    2015 doi

  86. [94]

    Equivalence Principle Implications of Modified Gravity Models

    Hui, Lam and Nicolis, Alberto and Stubbs, Christopher. Equivalence Principle Implications of Modified Gravity Models. Phys. Rev. D. 2009. doi:10.1103/PhysRevD.80.104002. arXiv:0905.2966

    2009 doi

  87. [96]

    The Large-Scale Structure of the Universe

  88. [97]

    and Scoccimarro, Roman and Sheth, Ravi K

    Smith, Robert E. and Scoccimarro, Roman and Sheth, Ravi K. Motion of the acoustic peak in the correlation function. Phys. Rev. D. 2008. doi:10.1103/PhysRevD.77.043525. arXiv:astro-ph/0703620

    2008 doi

  89. [98]

    The DESI Experiment Part I: Science, Targeting, and Survey Design

    Aghamousa, Amir and others. The DESI Experiment Part I: Science, Targeting, and Survey Design. 2016. arXiv:1611.00036

    2016

  90. [99]

    The DESI Bright Galaxy Survey: Final Target Selection, Design, and Validation

    Hahn, ChangHoon and others. The DESI Bright Galaxy Survey: Final Target Selection, Design, and Validation. Astron. J. 2023. doi:10.3847/1538-3881/accff8. arXiv:2208.08512

    2023 doi

  91. [100]

    Measuring cosmic velocities with 21 cm intensity mapping and galaxy redshift survey cross-correlation dipoles

    Hall, Alex and Bonvin, Camille. Measuring cosmic velocities with 21 cm intensity mapping and galaxy redshift survey cross-correlation dipoles. Phys. Rev. D. 2017. doi:10.1103/PhysRevD.95.043530. arXiv:1609.09252

    2017 doi

  92. [101]

    Observed galaxy number counts on the lightcone up to second order: I

    Bertacca, Daniele and Maartens, Roy and Clarkson, Chris. Observed galaxy number counts on the lightcone up to second order: I. Main result. JCAP. 2014. doi:10.1088/1475-7516/2014/09/037. arXiv:1405.4403

    2014 doi

  93. [102]

    The relativistic dipole and gravitational redshift on LSS

    Di Dio, Enea and Seljak, Uro s. The relativistic dipole and gravitational redshift on LSS. JCAP. 2019. doi:10.1088/1475-7516/2019/04/050. arXiv:1811.03054

    2019 doi

  94. [103]

    The relativistic galaxy number counts in the weak field approximation

    Di Dio, Enea and Beutler, Florian. The relativistic galaxy number counts in the weak field approximation. JCAP. 2020. doi:10.1088/1475-7516/2020/09/058. arXiv:2004.07916

    2020 doi

  95. [104]

    Modeling relativistic contributions to the halo power spectrum dipole

    Beutler, Florian and Di Dio, Enea. Modeling relativistic contributions to the halo power spectrum dipole. JCAP. 2020. doi:10.1088/1475-7516/2020/07/048. arXiv:2004.08014

    2020 doi

  96. [105]

    The Zeldovich approximation and wide-angle redshift-space distortions

    Castorina, Emanuele and White, Martin. The Zeldovich approximation and wide-angle redshift-space distortions. Mon. Not. Roy. Astron. Soc. 2018. doi:10.1093/mnras/sty1437. arXiv:1803.08185

    2018 doi

  97. [106]

    Halo Models of Large Scale Structure

    Cooray, Asantha and Sheth, Ravi K. Halo Models of Large Scale Structure. Phys. Rept. 2002. doi:10.1016/S0370-1573(02)00276-4. arXiv:astro-ph/0206508

    2002 doi

  98. [107]

    and Frenk, Carlos S

    Navarro, Julio F. and Frenk, Carlos S. and White, Simon D. M. A Universal density profile from hierarchical clustering. Astrophys. J. 1997. doi:10.1086/304888. arXiv:astro-ph/9611107

    1997 doi

  99. [108]

    Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space

    Matsubara, Takahiko. Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space. Phys. Rev. D. 2008. doi:10.1103/PhysRevD.77.063530. arXiv:0711.2521

    2008 doi

  100. [109]

    Richard and Lewis, Antony

    Shaw, J. Richard and Lewis, Antony. Non-linear Redshift-Space Power Spectra. Phys. Rev. D. 2008. doi:10.1103/PhysRevD.78.103512. arXiv:0808.1724

    2008 doi

  101. [110]

    and Hjorth, Jens

    Wojtak, Radoslaw and Hansen, Steen H. and Hjorth, Jens. Gravitational redshift of galaxies in clusters as predicted by general relativity. Nature. 2011. doi:10.1038/nature10445. arXiv:1109.6571

    2011 doi

  102. [111]

    Redshift-Space Distortions with the Halo Occupation Distribution II: Analytic Model

    Tinker, Jeremy L. Redshift-Space Distortions with the Halo Occupation Distribution II: Analytic Model. Mon. Not. Roy. Astron. Soc. 2007. doi:10.1111/j.1365-2966.2006.11157.x. arXiv:astro-ph/0604217

    2007 doi

  103. [112]

    and Hamaus, Nico and Desjacques, Vincent

    Baldauf, Tobias and Seljak, Uro s and Smith, Robert E. and Hamaus, Nico and Desjacques, Vincent. Halo stochasticity from exclusion and nonlinear clustering. Phys. Rev. D. 2013. doi:10.1103/PhysRevD.88.083507. arXiv:1305.2917

    2013 doi

  104. [113]

    New Insights into the Universe , year = 1992, editor =

    Large-Scale Structures and Motions: Linear Theory and Statistics. New Insights into the Universe , year = 1992, editor =. doi:10.1007/3-540-55842-X_29 , adsurl =

    1992 doi

  105. [114]

    and Matsubara, Takahiko and Landy, Stephen D

    Szalay, Alexander S. and Matsubara, Takahiko and Landy, Stephen D. Redshift space distortions of the correlation function in wide angle galaxy surveys. Astrophys. J. Lett. 1998. doi:10.1086/311293. arXiv:astro-ph/9712007

    1998 doi

  106. [115]

    Remarks on Relativistic Statistical Mechanics. I. Journal of Mathematical Physics , year = 1967, month = jun, volume =. doi:10.1063/1.1705347 , adsurl =

    1967 doi

  107. [116]

    and Thorne, K

    Misner, Charles W. and Thorne, K. S. and Wheeler, J. A. Gravitation. 1973

    1973

  108. [117]

    Galactic Dynamics: Second Edition

  109. [118]

    Testing the equivalence principle on cosmological scales

    Bonvin, Camille and Fleury, Pierre. Testing the equivalence principle on cosmological scales. JCAP. 2018. doi:10.1088/1475-7516/2018/05/061. arXiv:1803.02771

    2018 doi

  110. [119]

    and others

    Peacock, John A. and others. A Measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey. Nature. 2001. doi:10.1038/35065528. arXiv:astro-ph/0103143

    2001 doi

  111. [120]

    and others

    Eisenstein, Daniel J. and others. Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies. Astrophys. J. 2005. doi:10.1086/466512. arXiv:astro-ph/0501171

    2005 doi

  112. [121]

    The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications

    Cole, Shaun and others. The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications. Mon. Not. Roy. Astron. Soc. 2005. doi:10.1111/j.1365-2966.2005.09318.x. arXiv:astro-ph/0501174

    2005 doi

  113. [122]

    and others

    Guzzo, L. and others. A test of the nature of cosmic acceleration using galaxy redshift distortions. Nature. 2008. doi:10.1038/nature06555. arXiv:0802.1944

    2008 doi

  114. [123]

    Heath and Staveley-Smith, Lister and Campbell, Lachlan and Parker, Quentin and Saunders, Will and Watson, Fred

    Beutler, Florian and Blake, Chris and Colless, Matthew and Jones, D. Heath and Staveley-Smith, Lister and Campbell, Lachlan and Parker, Quentin and Saunders, Will and Watson, Fred. The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant. Mon. Not. Roy...

    2011 doi

  115. [124]

    The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations

    Blake, Chris and others. The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations. Mon. Not. Roy. Astron. Soc. 2011. doi:10.1111/j.1365-2966.2011.19592.x. arXiv:1108.2635

    2011 doi

  116. [125]

    The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample

    Alam, Shadab and others. The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx721. arXiv:1607.03155

    2017 doi

  117. [126]

    Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory

    Alam, Shadab and others. Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory. Phys. Rev. D. 2021. doi:10.1103/PhysRevD.103.083533. arXiv:2007.08991

    2021 doi

  118. [127]

    Abbott, T. M. C. and others. Dark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and weak lensing. Phys. Rev. D. 2022. doi:10.1103/PhysRevD.105.023520. arXiv:2105.13549

    2022 doi

  119. [128]

    and others

    Wright, Angus H. and others. KiDS-Legacy: Cosmological constraints from cosmic shear with the complete Kilo-Degree Survey. 2025. arXiv:2503.19441

    2025

  120. [129]

    and others

    Abdul Karim, M. and others. DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints. 2025. arXiv:2503.14738

    2025

  121. [130]

    and Hu, Wayne and Tegmark, Max

    Eisenstein, Daniel J. and Hu, Wayne and Tegmark, Max. Cosmic complementarity: H_0 and _m from combining CMB experiments and redshift surveys. Astrophys. J. Lett. 1998. doi:10.1086/311582. arXiv:astro-ph/9805239

    1998 doi

  122. [131]

    Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler

    Blake, Chris and Glazebrook, Karl. Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler. Astrophys. J. 2003. doi:10.1086/376983. arXiv:astro-ph/0301632

    2003 doi

  123. [132]

    Probing dark energy with baryonic acoustic oscillations from future large galaxy redshift surveys

    Seo, Hee-Jong and Eisenstein, Daniel J. Probing dark energy with baryonic acoustic oscillations from future large galaxy redshift surveys. Astrophys. J. 2003. doi:10.1086/379122. arXiv:astro-ph/0307460

    2003 doi

  124. [133]

    Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation

    Espenshade, Peter and Yoo, Jaiyul. Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation. Astrophys. J. 2025. doi:10.3847/1538-4357/adbe69. arXiv:2403.07046

    2025 doi

  125. [134]

    Tegmark, Max and Peebles, P. J. E. The Time evolution of bias. Astrophys. J. Lett. 1998. doi:10.1086/311426. arXiv:astro-ph/9804067

    1998 doi

  126. [135]

    Redshift space correlations and scale-dependent stochastic biasing of density peaks

    Desjacques, Vincent and Sheth, Ravi K. Redshift space correlations and scale-dependent stochastic biasing of density peaks. Phys. Rev. D. 2010. doi:10.1103/PhysRevD.81.023526. arXiv:0909.4544

    2010 doi

  127. [136]

    The Evolution of Bias

    Fry, James N. The Evolution of Bias. Astrophys. J. Lett. 1996. doi:10.1086/310006

    1996 doi

  128. [137]

    Biased Tracers and Time Evolution

    Mirbabayi, Mehrdad and Schmidt, Fabian and Zaldarriaga, Matias. Biased Tracers and Time Evolution. JCAP. 2015. doi:10.1088/1475-7516/2015/07/030. arXiv:1412.5169

    2015 doi

  129. [138]

    Chaos, Scattering and Statistical Mechanics

  130. [139]

    and Budisic, Marko and Kaiser, Eurika and Kutz, J

    Brunton, Steven L. and Budisic, Marko and Kaiser, Eurika and Kutz, J. Nathan , title =. SIAM Review , volume =. 2022 , doi =. arXiv:2102.12086

    2022

  131. [140]

    Bell System Technical Journal , volume =

    Mathematical Analysis of Random Noise , author =. Bell System Technical Journal , volume =. 1944 , doi =

    1944

  132. [141]

    Astrophys

    On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe. Astrophys. J. Suppl. , year = 1977, month = aug, volume =. doi:10.1086/190456 , adsurl =

    1977 doi

  133. [142]

    The power spectrum of density fluctuations in the Zel'dovich approximation. Mon. Not. Roy. Astron. Soc. , keywords =. doi:10.1093/mnras/273.2.475 , adsurl =

    doi

  134. [143]

    , keywords =

    The Growth of Dark Matter Halos: Evidence for Significant Smooth Accretion. , keywords =. doi:10.1088/0004-637X/719/1/229 , archivePrefix =. 1005.4058 , primaryClass =

    doi

  135. [144]

    Generation of Vorticity and Velocity Dispersion by Orbit Crossing

    Pueblas, Sebastian and Scoccimarro, Roman. Generation of Vorticity and Velocity Dispersion by Orbit Crossing. Phys. Rev. D. 2009. doi:10.1103/PhysRevD.80.043504. arXiv:0809.4606

    2009 doi

  136. [145]

    Why there is no Newtonian backreaction

    Kaiser, Nick. Why there is no Newtonian backreaction. Mon. Not. Roy. Astron. Soc. 2017. doi:10.1093/mnras/stx907. arXiv:1703.08809

    2017 doi

  137. [146]

    Perturbative interaction approach to cosmological structure formation

    Ali-Ha. Perturbative interaction approach to cosmological structure formation. Phys. Rev. D. 2015. doi:10.1103/PhysRevD.91.103507. arXiv:1502.00580

    2015 doi

  138. [147]

    Astrophysics , keywords =

    Nonlinear theory of the development of potential perturbations. Astrophysics , keywords =. doi:10.1007/BF01011421 , adsurl =

    doi

  139. [148]

    A convenient set of comoving cosmological variables and their application

    Martel, Hugo and Shapiro, Paul R. A convenient set of comoving cosmological variables and their application. Mon. Not. Roy. Astron. Soc. 1998. doi:10.1046/j.1365-8711.1998.01497.x. arXiv:astro-ph/9710119

    1998 doi

  140. [149]

    Tracing the Dark Matter Sheet in Phase Space

    Abel, Tom and Hahn, Oliver and Kaehler, Ralf. Tracing the Dark Matter Sheet in Phase Space. Mon. Not. Roy. Astron. Soc. 2012. doi:10.1111/j.1365-2966.2012.21754.x. arXiv:1111.3944

    2012 doi

  141. [150]

    Gravitational redshift from large-scale structure: nonlinearities, anti-symmetries, and the dipole

    Dam, Lawrence and Bonvin, Camille. Gravitational redshift from large-scale structure: nonlinearities, anti-symmetries, and the dipole. 2025. arXiv:2506.22431

    2025

  142. [151]

    1985 , publisher =

    Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , author =. 1985 , publisher =

    1985

  143. [152]

    A microscopic, non-equilibrium, statistical field theory for cosmic structure formation

    Bartelmann, Matthias and Fabis, Felix and Berg, Daniel and Kozlikin, Elena and Lilow, Robert and Viermann, Celia. A microscopic, non-equilibrium, statistical field theory for cosmic structure formation. New J. Phys. 2016. doi:10.1088/1367-2630/18/4/043020. arXiv:1411.0806

    2016 doi

  144. [153]

    , keywords =

    Fundamental theory of statistical particle dynamics. , keywords =. doi:10.1103/PhysRevE.81.061102 , archivePrefix =. 0905.4904 , primaryClass =

    doi

  145. [154]

    Journal of Statistical Physics , keywords =

    Field Theoretic Formulation of Kinetic Theory: Basic Development. Journal of Statistical Physics , keywords =. doi:10.1007/s10955-012-0610-y , archivePrefix =. 1111.0571 , primaryClass =

    doi

  146. [155]

    Martin, P. C. and Siggia, E. D. and Rose, H. A. Statistical Dynamics of Classical Systems. Phys. Rev. A. 1973. doi:10.1103/PhysRevA.8.423

    1973 doi

  147. [156]

    Zeitschrift fur Physik B Condensed Matter , year = 1976, month = dec, volume =

    On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties. Zeitschrift fur Physik B Condensed Matter , year = 1976, month = dec, volume =. doi:10.1007/BF01316547 , adsurl =

    1976 doi

  148. [157]

    , year = 1978, month = jul, volume =

    Field-theory renormalization and critical dynamics above T _ c : Helium, antiferromagnets, and liquid-gas systems. , year = 1978, month = jul, volume =. doi:10.1103/PhysRevB.18.353 , adsurl =

    1978 doi

  149. [158]

    , date =

    Jensen, Roderick V. , date =. Functional integral approach to classical statistical dynamics , url =. Journal of Statistical Physics , number =. 1981 , bdsk-url-1 =. doi:10.1007/BF01022182 , id =

    1981 doi

  150. [159]

    Cosmic Structure Formation with Kinetic Field Theory

    Bartelmann, Matthias and Kostyuk, Ivan and Kozlikin, Elena and Lilow, Robert and Littek, Carsten and Fabis, Felix and Viermann, Celia and Heisenberg, Lavinia and Konrad, Sara and Geiss, Daniel. Cosmic Structure Formation with Kinetic Field Theory. Annalen Phys. 2019. doi:10.10...

    2019 doi

  151. [160]

    , title =

    Risken, H. , title =. 1989 , series =

    1989

  152. [161]

    , keywords =

    Galaxy formation with a local bias. , keywords =. doi:10.1093/mnras/262.4.1065 , adsurl =

    doi

  153. [162]

    and Colombi, S

    Bernardeau, F. and Colombi, S. and Gaztanaga, E. and Scoccimarro, R. Large scale structure of the universe and cosmological perturbation theory. Phys. Rept. 2002. doi:10.1016/S0370-1573(02)00135-7. arXiv:astro-ph/0112551

    2002 doi

  154. [163]

    and Diaferio, Antonaldo and Hui, L

    Sheth, Ravi K. and Diaferio, Antonaldo and Hui, L. and Scoccimarro, Roman. On the streaming motions of haloes and galaxies. Mon. Not. Roy. Astron. Soc. 2001. doi:10.1046/j.1365-8711.2001.04457.x. arXiv:astro-ph/0010137

    2001 doi

  155. [164]

    and Connolly, Andrew J

    Sheth, Ravi K. and Connolly, Andrew J. and Skibba, Ramin. Marked correlations in galaxy formation models. 2005. arXiv:astro-ph/0511773

    2005

  156. [165]

    Newtonian cosmology in Lagrangian formulation: Foundations and perturbation theory

    Ehlers, Jurgen and Buchert, Thomas. Newtonian cosmology in Lagrangian formulation: Foundations and perturbation theory. Gen. Rel. Grav. 1997. doi:10.1023/A:1018885922682. arXiv:astro-ph/9609036

    1997 doi

  157. [166]

    Luminosity- and morphology-dependent clustering of galaxies

    Beisbart, Claus and Kerscher, Martin. Luminosity- and morphology-dependent clustering of galaxies. Astrophys. J. 2000. doi:10.1086/317788. arXiv:astro-ph/0003358

    2000 doi

  158. [167]

    Evolution of the two point correlation function in the Zel'dovich approximation

    Porciani, Cristiano. Evolution of the two point correlation function in the Zel'dovich approximation. Mon. Not. Roy. Astron. Soc. 1997. doi:10.1093/mnras/290.4.639. arXiv:astro-ph/9609029

    1997 doi

  159. [168]

    Journal of Fluid Mechanics , keywords =

    Path-integral methods for turbulent diffusion. Journal of Fluid Mechanics , keywords =. doi:10.1017/S002211208200295X , adsurl =

    doi

  160. [169]

    Large-scale structure perturbation theory without losing stream crossing

    McDonald, Patrick and Vlah, Zvonimir. Large-scale structure perturbation theory without losing stream crossing. Phys. Rev. D. 2018. doi:10.1103/PhysRevD.97.023508. arXiv:1709.02834

    2018 doi

  161. [170]

    , keywords =

    Cosmic web, multistream flows, and tessellations. , keywords =. doi:10.1103/PhysRevD.85.083005 , archivePrefix =. 1111.2366 , primaryClass =

    doi

  162. [171]

    The Evolution of Bias: Generalized

    Hui, Lam and Parfrey, Kyle P. The Evolution of Bias: Generalized. Phys. Rev. D. 2008. doi:10.1103/PhysRevD.77.043527. arXiv:0712.1162

    2008 doi

  163. [172]

    and Tormen, Giuseppe , title =

    Sheth, Ravi K. and Tormen, Giuseppe , title =. Monthly Notices of the Royal Astronomical Society , volume =. 1999 , doi =

    1999

  164. [173]

    and Mo, H

    Sheth, Ravi K. and Mo, H. J. and Tormen, Giuseppe , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2001 , doi =

    2001

  165. [174]

    Annual Review of Astronomy and Astrophysics , volume =

    Madau, Piero and Dickinson, Mark , title =. Annual Review of Astronomy and Astrophysics , volume =. 2014 , doi =

    2014

  166. [175]

    and Wechsler, Risa H

    Behroozi, Peter S. and Wechsler, Risa H. and Conroy, Charlie , title =. Astrophysical Journal , volume =. 2013 , doi =

    2013

  167. [176]

    and Naab, Thorsten and White, Simon D

    Moster, Benjamin P. and Naab, Thorsten and White, Simon D. M. , title =. Monthly Notices of the Royal Astronomical Society , volume =. 2013 , doi =

    2013

  168. [177]

    Planck 2018 results. VI. Cosmological parameters , journal =. 2020 , doi =

    2018

  169. [178]

    On the prediction of velocity fields from redshift space galaxy samples

    Nusser, Adi and Davis, Marc. On the prediction of velocity fields from redshift space galaxy samples. Astrophys. J. Lett. 1994. doi:10.1086/187172. arXiv:astro-ph/9309009

    1994 doi

  170. [179]

    Modeling Biased Tracers at the Field Level

    Schmittfull, Marcel and Simonovi \'c , Marko and Assassi, Valentin and Zaldarriaga, Matias. Modeling Biased Tracers at the Field Level. Phys. Rev. D. 2019. doi:10.1103/PhysRevD.100.043514. arXiv:1811.10640

    2019 doi

  171. [180]

    The Gaussian streaming model and convolution Lagrangian effective field theory

    Vlah, Zvonimir and Castorina, Emanuele and White, Martin. The Gaussian streaming model and convolution Lagrangian effective field theory. JCAP. 2016. doi:10.1088/1475-7516/2016/12/007. arXiv:1609.02908

    2016 doi

  172. [181]

    Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory

    Chen, Shi-Fan and Vlah, Zvonimir and White, Martin. Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory. JCAP. 2020. doi:10.1088/1475-7516/2020/07/062. arXiv:2005.00523

    2020 doi

  173. [182]

    Bias in the Effective Field Theory of Large Scale Structures

    Senatore, Leonardo. Bias in the Effective Field Theory of Large Scale Structures. JCAP. 2015. doi:10.1088/1475-7516/2015/11/007. arXiv:1406.7843

    2015 doi

  174. [183]

    On the Statistics of Biased Tracers in the Effective Field Theory of Large Scale Structures

    Angulo, Raul and Fasiello, Matteo and Senatore, Leonardo and Vlah, Zvonimir. On the Statistics of Biased Tracers in the Effective Field Theory of Large Scale Structures. JCAP. 2015. doi:10.1088/1475-7516/2015/9/029. arXiv:1503.08826

    2015 doi

  175. [184]

    The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure

    D'Amico, Guido and Donath, Yaniv and Lewandowski, Matthew and Senatore, Leonardo and Zhang, Pierre. The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure. JCAP. 2024. doi:10.1088/1475-7516/2024/07/041. arXiv:2211.17130

    2024 doi

  176. [185]

    Direct signatures of the formation time of galaxies

    Donath, Yaniv and Lewandowski, Matthew and Senatore, Leonardo. Direct signatures of the formation time of galaxies. Phys. Rev. D. 2024. doi:10.1103/PhysRevD.109.123510. arXiv:2307.11409

    2024 doi

  177. [186]

    Non-local-in-time structure formation and sixth-order galaxy bias

    Edison, Alex and Lewandowski, Matthew and Senatore, Leonardo. Non-local-in-time structure formation and sixth-order galaxy bias. 2025. arXiv:2512.19578

    2025

  178. [187]

    Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture

    Matsubara, Takahiko. Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture. Phys. Rev. D. 2008. doi:10.1103/PhysRevD.78.109901. arXiv:0807.1733

    2008 doi

  179. [188]

    On the Spatial correlations of Abell clusters

    Kaiser, Nick. On the Spatial correlations of Abell clusters. Astrophys. J. Lett. 1984. doi:10.1086/184341

    1984 doi

  180. [189]

    Effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies

    Schmidt, Fabian. Effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies. Phys. Rev. D. 2016. doi:10.1103/PhysRevD.94.063508. arXiv:1602.09059

    2016 doi

  181. [190]

    Galaxy Formation and Evolution

  182. [191]

    The Evolution of correlation functions in the Zel'dovich approximation and its implications for the validity of perturbation theory

    Bharadwaj, Somnath. The Evolution of correlation functions in the Zel'dovich approximation and its implications for the validity of perturbation theory. Astrophys. J. 1996. doi:10.1086/178036. arXiv:astro-ph/9606121

    1996 doi

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Reviewed May 8, 2026 · model on record in the stance chip above.