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We present a new statistic-the redshift dispersion-- which may prove useful for comparing next generation redshift surveys (e.g., the Sloan Digital Sky Survey) and cosmological simulations. Our statistic is specifically designed for the…

Astrophysics · Physics 2009-10-28 Jeremy Kepner , Frank Summers , Michael Strauss

Massive spectroscopic redshift surveys open a promising window to accurately measure peculiar velocity at cosmological distances through redshift space distortion (RSD). In paper I of this series of work we proposed to decompose peculiar…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-22 Yi Zheng , Pengjie Zhang , Yipeng Jing , Weipeng Lin , Jun Pan

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

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 have derived estimators for the linear growth rate of density fluctuations using the cross-correlation function of voids and haloes in redshift space, both directly and in Fourier form. In linear theory, this cross-correlation contains…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 Yan-Chuan Cai , Andy Taylor , John A. Peacock , Nelson Padilla

We present a study of the evolution of the galaxy Velocity Dispersion Function (VDF) from z=0 to z=1.5 using photometric data from the UKIDSS Ultra Deep Survey (UDS) and Newfirm Medium Band Survey (NMBS) COSMOS surveys. The VDF has been…

We investigate the use of the cross-correlation between galaxies and galaxy groups to measure redshift-space distortions (RSD) and thus probe the growth rate of cosmological structure. This is compared to the classical approach based on…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-24 Faizan G. Mohammad , Sylvain de la Torre , Davide Bianchi , Luigi Guzzo , John A. Peacock

The low statistical errors on cosmological parameters promised by future galaxy surveys will only be realised with the development of new, fast, analysis methods that reduce potential systematic problems to low levels. We present an…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Rossana Ruggeri , Will Percival , Héctor Gil-Marín , Fangzhou Zhu , Gongbo Zhao , Yuting Wang

One of the main problems of observational cosmology is to determine the range in which a reliable measurement of galaxy correlations is possible. This corresponds to determine the shape of the correlation function, its possible evolution…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 Francesco Sylos Labini , Daniil Tekhanovich , Yurij V. Baryshev

Peculiar velocities induce apparent line of sight displacements of galaxies in redshift space, distorting the pattern of clustering in the radial versus transverse directions. On large scales, the amplitude of the distortion yields a…

Astrophysics · Physics 2015-06-24 A. J. S. Hamilton , M. Culhane

Measurements of redshift space distortions (RSD) provide a means to test models of gravity on large-scales. We use mock galaxy catalogues constructed from large N-body simulations of standard and modified gravity models to measure galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-27 César Hernández-Aguayo , Jiamin Hou , Baojiu Li , Carlton M. Baugh , Ariel G. Sánchez

Studies of in-vacuo dispersion are the most active area of quantum-gravity phenomenology. The way in which in-vacuo dispersion produces redshift-dependent corrections to the time of flight of astrophysics particles depends on the…

General Relativity and Quantum Cosmology · Physics 2023-12-15 Giovanni Amelino-Camelia , Domenico Frattulillo , Giulia Gubitosi , Giacomo Rosati , Suzana Bedić

Voids are promising cosmological probes. Nevertheless, every cosmological test based on voids must necessarily employ methods to identify them in redshift space. Therefore, redshift-space distortions (RSD) and the Alcock-Paczynski effect…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-28 Carlos M. Correa , Dante J. Paz , Ariel G. Sánchez , Andrés N. Ruiz , Nelson D. Padilla , Raúl E. Angulo

In this paper, we develop the method of analyzing the velocity field of cosmic matter with a multiresolution decomposition. This is necessary in calculating the redshift distortion of power spectrum in the discrete wavelet transform (DWT)…

Astrophysics · Physics 2009-11-06 Xiao-Hu Yang , Long-Long Feng , Yao-Quan Chu , Li-Zhi Fang

Photometric redshifts are a key ingredient in the analysis and interpretation of large-scale structure (LSS) surveys. The accuracy and precision of these redshift estimates are directly linked to the constraining power of photometric…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-08 Robert Reischke

One of the goals of current cosmological studies is the determination of the expansion and acceleration rates of the universe as functions of redshift, and the determination of the properties of the dark energy that can explain these…

Astrophysics · Physics 2009-11-10 Ruth A. Daly , S. G. Djorgovski

We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that MSD relaxes to a constant only when the distribution of reset times possess finite mean and variance. In this case, the leading…

Statistical Mechanics · Physics 2022-07-13 R. K. Singh , K. Gorska , T. Sandev

We present an analytic model for the galaxy two-point correlation function in redshift space. The model is constructed within the framework of the Halo Occupation Distribution (HOD), which quantifies galaxy bias on linear and non- linear…

Astrophysics · Physics 2008-11-26 Jeremy L. Tinker

This study is devoted to the implications of scale-dependent gravity in Cosmology. Redshift-space distortion data indicate that there is a tension between $\Lambda$CDM and available observations as far as the value of the rms density…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Grigoris Panotopoulos , Ángel Rincón

The analysis of Redshift-Space Distortions (RSD) within galaxy surveys provides constraints on the amplitude of peculiar velocities induced by structure growth, thereby allowing tests of General Relativity on extremely large scales. The…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Alvise Raccanelli , Lado Samushia , Will J. Percival