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The coming generation of galaxy surveys will provide measurements of galaxy clustering with unprecedented accuracy and data size, which will allow us to test cosmological models at much higher precision than achievable previously. This…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-17 Cheng-Zong Ruan , Carolina Cuesta-Lazaro , Alexander Eggemeier , César Hernández-Aguayo , Carlton M. Baugh , Baojiu Li , Francisco Prada

The streaming model describes the mapping between real and redshift space for 2-point clustering statistics. Its key element is the probability density function (PDF) of line-of-sight pairwise peculiar velocities. Following a kinetic-theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-24 Joseph Kuruvilla , Cristiano Porciani

As a step towards a more accurate modelling of redshift-space distortions in galaxy surveys, we develop a general description of the probability distribution function of galaxy pairwise velocities within the framework of the so-called…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-04 Davide Bianchi , Matteo Chiesa , Luigi Guzzo

We develop a model for the redshift-space correlation function, valid for both dark matter particles and halos on scales $>5\,h^{-1}$Mpc. In its simplest formulation, the model requires the knowledge of the first three moments of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-08 Davide Bianchi , Will J. Percival , Julien Bel

We derive the exact relationship, including all non-linearities, between real-space and redshift-space two-point statistics through the pairwise velocity distribution function. We show using numerical simulations that the pairwise velocity…

Astrophysics · Physics 2009-11-10 Roman Scoccimarro

We study the probability distribution function (PDF) of relative velocity between two different dark matter halos (i.e. pairwise velocity) with a set of high-resolution cosmological $N$-body simulations. We investigate the pairwise velocity…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Masato Shirasaki , Eric M. Huff , Katarina Markovic , Jason D. Rhodes

Redshift-space distortions present a significant challenge in building models for the three-point correlation function (3PCF). We compare two possible lines of attack: the streaming model and standard perturbation theory (SPT). The two…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-21 Anna Pugno , Alexander Eggemeier , Cristiano Porciani , Joseph Kuruvilla

Understanding the formation and evolution of large-scale structure is a central problem in cosmology and enables precise tests of General Relativity on cosmological scales and constraints on dark energy. An essential ingredient is an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Lile Wang , Beth Reid , Martin White

We study the non-Gaussian tail of the probability distribution function of density in cosmological N-Body simulations for a variety of initial conditions. We compare the behaviour of the non-Gaussian tail in the real space with that in the…

Astrophysics · Physics 2007-05-23 J. S. Bagla , Suryadeep Ray

The gravitational evolution of the cosmic one-point probability distribution function (PDF) has been estimated using an analytic approximation that combines gravitational perturbation theory with the Edgeworth expansion around a Gaussian…

Astrophysics · Physics 2009-10-31 E. Gaztanaga , P. Fosalba , E. Elizalde

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for measuring the build-up of cosmological structure, which depends both on the expansion rate of the Universe and our theory of gravity.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Beth A. Reid , Martin White

We assess the performance of the Taruya, Nishimichi and Saito (TNS) model for the halo redshift space power spectrum, focusing on utilising mildly non-linear scales to constrain the growth rate of structure f. Using simulations with volume…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-28 Katarina Markovic , Benjamin Bose , Alkistis Pourtsidou

We calculate the cosmological evolution of the 1-point probability distribution function (PDF), using an analytic approximation that combines gravitational perturbation theory with the Edgeworth expansion of the PDF. Our method applies…

Astrophysics · Physics 2009-10-22 R. Juszkiewicz , D. Weinberg , P. Amsterdamski , M. Chodorowski , F. Bouchet

We present a new analytic calculation for the redshift-space evolution of the 1-point galaxy Probability Distribution Function (PDF). The nonlinear evolution of the matter density field is treated by second-order Eulerian perturbation…

Astrophysics · Physics 2009-10-31 Peter Watts , Andrew Taylor

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

The gravitational evolution of the cosmic one-point Probability Distribution Function (PDF) can be estimated using an analytic approximation that combines gravitational Perturbation Theory (PT) with the Edgeworth expansion around a Gaussian…

Astrophysics · Physics 2007-05-23 P. Fosalba , E. Gaztanaga , E. Elizalde

We use a set of large, high-resolution cosmological N-body simulations to examine the redshift-space distortions of galaxy clustering on scales of order 10-200h^{-1} Mpc. Galaxy redshift surveys currently in progress will, on completion,…

Astrophysics · Physics 2009-06-16 S. J. Hatton , S. Cole

Starting from first principles, we derive the fundamental equations that relate the $n$-point correlation functions in real and redshift space. Our result generalises the so-called `streaming model' to higher-order statistics: the full…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Joseph Kuruvilla , Cristiano Porciani

Using a full implementation of resummed perturbation theory (PT) from a multi-point propagator expansion, we put forward new theoretical predictions for the two-point statistics of matter fluctuations in redshift space. The predictions…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-10 Atsushi Taruya , Takahiro Nishimichi , Francis Bernardeau

Redshift-space clustering distortions provide one of the most powerful probes to test the gravity theory on the largest cosmological scales. We perform a systematic validation study of the state-of-the-art statistical methods currently used…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-27 Jorge Enrique García-Farieta , Federico Marulli , Lauro Moscardini , Alfonso Veropalumbo , Rigoberto A. Casas-Miranda
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