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Massive spectroscopic surveys will measure the redshift space distortion (RSD) induced by galaxy peculiar velocity to unprecedented accuracy. We develop a new method to improve the RSD modeling and to carry out robust reconstruction of the…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-29 Pengjie Zhang , Jun Pan , Yi Zheng

(Abridged) We make predictions for the pairwise velocity dispersion (PVD) of galaxies with models that are constrained to match the projected correlation function and luminosity function of galaxies in the Two-Degree Field Galaxy Redshift…

Astrophysics · Physics 2011-02-11 Jeremy L. Tinker , Peder Norberg , David H. Weinberg , Michael S. Warren

The line-of-sight peculiar velocities of galaxies contribute to their observed redshifts, breaking the translational invariance of galaxy clustering down to a rotational invariance around the observer. This becomes important when the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Emanuele Castorina , Martin White

We use the void probability function to compare the redshift--space galaxy distribution in the Perseus--Pisces survey with artificial samples from N-body simulations of standard cold dark matter (CDM) and broken scale invariance (BSI)…

Astrophysics · Physics 2009-10-28 S. Ghigna , S. A. Bonometto , J. Retzlaff , S. Gottloeber , G. Murante

Using third-order perturbation theory, we derive a relation between the mean divergence of the peculiar velocity given density and the density itself. Our calculations assume Gaussian initial conditions and are valid for Gaussian filtering…

Astrophysics · Physics 2015-06-24 Michal Chodorowski , Ewa Lokas , Agnieszka Pollo , Adi Nusser

Peculiar motion introduces systematic variations in the observed luminosity distribution of galaxies. This allows one to constrain the cosmic peculiar velocity field from large galaxy redshift surveys. Using around half a million galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-19 Martin Feix , Adi Nusser , Enzo Branchini

The large-scale structure of the Universe and its evolution over time contains an abundance of cosmological information. One way to unlock this is by measuring the density and momentum power spectrum from the positions and peculiar…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-03 Fei Qin , Cullan Howlett , David Parkinson

I discuss the effect of non-radial motions on the small-scale pairwise peculiar velocity dispersions of galaxies (PVD) in a CDM model. I calculate the PVD for the SCDM model by means of the refined cosmic virial theorem (CVT) (Suto & Jing…

Astrophysics · Physics 2009-11-06 A. Del Popolo

Based on the theoretical description of Position-Position-Velocity(PPV) statistics in Lazarian & Pogosyan(2000), we introduce a new technique called the Velocity Decomposition Algorithm(VDA) in separating the PPV fluctuations arising from…

Astrophysics of Galaxies · Physics 2021-04-14 Ka Ho Yuen , Ka Wai Ho , Alex Lazarian

The peculiar motions of galaxies can be used to infer the distribution of matter in the Universe. It has recently been shown that measurements of the peculiar velocity field indicates an anomalously high bulk flow of galaxies in our local…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Edward Macaulay , Hume A. Feldman , Pedro G. Ferreira , Michael J. Hudson , Richard Watkins

Redshift-space distortions (RSD) generically affect any spatially-dependent observable that is mapped using redshift information. The effect on the observed clustering of galaxies is the primary example of this. This paper is devoted to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Lawrence Dam , Krzysztof Bolejko , Geraint F. Lewis

We study an efficient way to enhance the measurability of the galaxy density and/or velocity power spectrum in redshift space. It is based on the angular decomposition with the Tripolar spherical harmonic (TripoSH) basis and applicable even…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Maresuke Shiraishi , Teppei Okumura , Naonori S. Sugiyama , Kazuyuki Akitsu

The cosmological peculiar velocity field (deviations from the pure Hubble flow) of matter carries significant information on dark energy, dark matter and the underlying theory of gravity on large scales. Peculiar motions of galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-17 Adi Nusser , Enzo Branchini , Martin Feix

We review the quantitative science that can be and has been done with redshift and peculiar velocity surveys of galaxies in the nearby universe. After a brief background setting the cosmological context for this work, the first part of this…

Astrophysics · Physics 2016-08-30 Michael A. Strauss , Jeffrey A. Willick

We present new measurements of the coherent motion of galaxies based on observations of the large-scale redshift-space distortions seen in the two-dimensional two-point correlation function of Luminous Red Galaxies in Data Release Seven of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Yong-Seon Song , Cristiano G. Sabiu , Issha Kayo , Robert C. Nichol

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 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

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

Pairwise velocities of the large-scale structure encode valuable information about the growth of structure. They can be observed indirectly through redshift-space distortions and the kinetic Sunyaev-Zeldovich effect. Whether it is Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Aritra Kumar Gon , Yan-Chuan Cai

In this paper we consider methods of analysis and optimal design of redshift surveys. In the first part, we develop a formalism for analysing galaxy redshift surveys which are essentially two-dimensional, such as thin declination slices.…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor