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A leading way to constrain physical theories from cosmological observations is to test their predictions for the angular clustering statistics of matter tracers, a technique that is set to become ever more central with the next generation…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-17 Antón Baleato Lizancos , Martin White

We discuss the effects of redshift--space distortions on the estimate of high order galaxy correlation functions. We use both the Perseus--Pisces redshift survey and the results of high--resolution N--body simulations to explore the…

Astrophysics · Physics 2007-05-23 S. Ghigna , S. A. Bonometto , L. Guzzo , R. Giovanelli , M. P. Haynes , A. Klypin , J. R. Primack

The number of galaxies with measured redshifts > 1 is at present rapidly increasing, allowing for measurements of their correlation function. The correlations function is measured in redshift space, as a function of angular separation and…

Astrophysics · Physics 2009-10-31 Vibhat Nair

We investigate the effect of redshift-space distortions in the power spectrum parallel and perpendicular to the observer's line of sight, P(k_par,k_perp), using the optically selected Durham/UKST Galaxy Redshift Survey. On small, non-linear…

Astrophysics · Physics 2009-10-31 P. J. Outram , Fiona Hoyle , T. Shanks

With the advent of very large volume, wide-angle photometric redshift surveys like e.g. Pan-STARRS, DES, or PAU, which aim at using the spatial distribution of galaxies as a means to constrain the equation of state parameter of dark energy,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Holger A. Schlagenhaufer , Stefanie Phleps , Ariel G. Sanchez

We use N-body simulations to test the predictions of the redshift distortion in the power spectrum given by the halo model in which the clustering of dark matter particles is considered as a result both of the clustering of dark halos in…

Astrophysics · Physics 2009-11-07 Xi. Kang , Y. P. Jing , H. J. Mo , G. Borner

We examine the effect of redshift space distortions on the galaxy two-point correlation function $\xi(r_p,\pi)$ as a function of separations parallel ($r_p$) and perpendicular ($\pi$) to the line of sight. We find that the relative velocity…

Astrophysics · Physics 2015-06-24 Karl B Fisher , Marc Davis , Michael A Strauss , Amos Yahil , John P Huchra

The bispectrum provides a characteristic signature of gravitational instability that can be used to probe the Gaussianity of the initial conditions and the bias of the galaxy distribution. We study how this signature is affected by redshift…

Astrophysics · Physics 2009-10-30 Roman Scoccimarro , H. M. P. Couchman , Joshua A. Frieman

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

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 compute a general expression for the contribution of vector perturbations to the redshift-space distortion of galaxy surveys. We show that they contribute to the same multipoles of the correlation function as scalar perturbations and…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-20 Camille Bonvin , Ruth Durrer , Nima Khosravi , Martin Kunz , Ignacy Sawicki

We revisit the feasibility of a cosmological test with the geometric distortion focusing on an ambiguous factor of the evolution of bias. Starting from defining estimators for the spatial two-point correlation function and the power…

Astrophysics · Physics 2007-05-23 Kazuhiro Yamamoto , Hiroaki Nishioka , Atsushi Taruya

We present a fully relativistic calculation of the observed galaxy number counts in the linear regime. We show that besides the density fluctuations and redshift-space distortions, various relativistic effects contribute to observations at…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Camille Bonvin

In this paper, we develop a theory of redshift distortion of the galaxy power spectrum in the discrete wavelet transform (DWT) representation. Because the DWT power spectrum is dependent of both the scale and shape (configuration) of the…

Astrophysics · Physics 2009-11-07 Xiao-Hu Yang , Long-Long Feng , Yao-Quan Chu , Li-Zhi Fang

The apparent distribution of large-scale structures in the universe is sensitive to the velocity/potential of the sources as well as the potential along the line-of-sight through the mapping from real space to redshift space (redshift-space…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-04 Michel-Andrès Breton , Yann Rasera , Atsushi Taruya , Osmin Lacombe , Shohei Saga

Observing large scale structure in redshift space gives rise to the well known redshift space distortions whereby a spherical distribution of galaxies is distorted into an ellipsoid along the line of sight of the observer. This effect is…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 Pritha Paul , Chris Clarkson

We propose a method to determine the cosmic mass density Omega from redshift-space distortions induced by large-scale flows in the presence of nonlinear clustering. Nonlinear structures in redshift space such as fingers of God can…

Astrophysics · Physics 2009-10-30 B. C. Bromley , M. S. Warren , W. H. Zurek

The redshift-space correlation function $\xi_s$ for projected galaxy separations $\simless 1h^{-1}$ Mpc can be expressed as the convolution of the real-space correlation function with the galaxy pairwise velocity distribution function…

Astrophysics · Physics 2009-10-28 Antonaldo Diaferio , Margaret J. Geller

We compute the dipole of the galaxy correlation function at 1-loop in perturbation theory by including all the relevant relativistic contributions. This provides a description and understanding of what the dipole truly measures, in…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-06 Enea Di Dio , Uros Seljak

A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

Astrophysics · Physics 2009-10-31 Takahiko Matsubara