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A Model for Multi-property Galaxy Cluster Statistics
Cosmology and Nongalactic Astrophysics · Submitted 6 Mar 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using a Tinker mass function in a {\Lambda}CDM cosmology, we show that the cubic analytic model reproduces results obtained from direct, numerical convolution at the 10 percent level or better over nearly the full range of observables covered by current observations and for redshifts extending to z = 1.5.
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The abstract, sentence by sentence
The massive dark matter halos that host groups and clusters of galaxies have observable properties that appear to be log-normally distributed about power-law mean scaling relations in halo mass. Coupling this assumption with either quadratic or cubic approximations to the mass function in log space, we derive closed-form expressions for the space density of halos as a function of multiple observables as well as forms for the low-order moments of properties of observable-selected samples. Using a Tinker mass function in a {\Lambda}CDM cosmology, we show that the cubic analytic model reproduces results obtained from direct, numerical convolution at the 10 percent level or better over nearly the full range of observables covered by current observations and for redshifts extending to z = 1.5. The model provides an efficient framework for estimating effects arising from selection and covariance among observable properties in survey samples.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The massive dark matter halos that host groups and clusters of galaxies have observable properties that appear to be log-normally distributed about power-law mean scaling relations in halo mass. | background 0.97 | 0.13 | 0.08 | asserted 0.77 |
| s1 | Coupling this assumption with either quadratic or cubic approximations to the mass function in log space, we derive closed-form expressions for the space density of halos as a function of multiple observables as well as forms for the low-order moments of properties of observable-selected samples. | method 0.66 | 0.94 | 0.18 | asserted 0.99 |
| s2 | Using a Tinker mass function in a {\Lambda}CDM cosmology, we show that the cubic analytic model reproduces results obtained from direct, numerical convolution at the 10 percent level or better over nearly the full range of observables covered by current observations and for redshifts extending to z = 1.5. | result 0.98 | 0.96 | 0.46 | asserted 1.00 |
| s3 | The model provides an efficient framework for estimating effects arising from selection and covariance among observable properties in survey samples. | interpretation 0.73 | 0.67 | 0.25 | asserted 1.00 |
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The paper
Original abstract
The massive dark matter halos that host groups and clusters of galaxies have observable properties that appear to be log-normally distributed about power-law mean scaling relations in halo mass. Coupling this assumption with either quadratic or cubic approximations to the mass function in log space, we derive closed-form expressions for the space density of halos as a function of multiple observables as well as forms for the low-order moments of properties of observable-selected samples. Using a Tinker mass function in a {\Lambda}CDM cosmology, we show that the cubic analytic model reproduces results obtained from direct, numerical convolution at the 10 percent level or better over nearly the full range of observables covered by current observations and for redshifts extending to z = 1.5. The model provides an efficient framework for estimating effects arising from selection and covariance among observable properties in survey samples.
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References
How the literature uses it
3 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 1 paper
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We use a general multi-variate Gaussian model [ref] for the observed richness $λ_obs$ and a lensing observable, corresponding to the lensing mass $log_10m_WL$, i.e. [equation] where [equation] and [equation]
Simulation-based cosmological inference from optically-selected galaxy clusters with $\texttt{Capish}$ · From halo properties to cluster observables · 0.96
Cites it as background 1 paper
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A power-law relation [ref] is commonly adopted to connect the mean cluster's observed (log-) richness $lnλ_obs$ with its halo mass and redshift, via [equation]
Simulation-based cosmological inference from optically-selected galaxy clusters with $\texttt{Capish}$ · From halo properties to cluster observables · 0.85
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