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We report the correlation analysis of various redshift surveys which shows that the available data are consistent with each other and manifest fractal correlations (with dimension $D \simeq 2$) up to the present observational limits…

Astrophysics · Physics 2009-10-30 M. Montuori , F. Sylos Labini , A. Gabrielli , A. Amici , L. Pietronero

We present a novel approach to compute systematically the relativistic projection effects at any order in perturbation theory within the weak field approximation. In this derivation the galaxy number counts is written completely in terms of…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-13 Enea Di Dio , Florian Beutler

In recent years, deep learning approaches have achieved state-of-the-art results in the analysis of point cloud data. In cosmology, galaxy redshift surveys resemble such a permutation invariant collection of positions in space. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Sotiris Anagnostidis , Arne Thomsen , Tomasz Kacprzak , Tilman Tröster , Luca Biggio , Alexandre Refregier , Thomas Hofmann

The three-point correlation function (3PCF) provides an important view into the clustering of galaxies that is not available to its lower order cousin, the two-point correlation function (2PCF). Higher order statistics, such as the 3PCF,…

We present an algorithm enabling computation of the anisotropic redshift-space galaxy 3-point correlation function (3PCF) scaling as $N^2$, with $N$ the number of galaxies. Our previous work showed how to compute the isotropic 3PCF with…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-16 Zachary Slepian , Daniel J. Eisenstein

We investigate the connection between the full- and flat-sky angular power spectra. First, we revisit this connection established on the geometric and physical grounds, namely that the angular correlations on the sphere and in the plane…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Zucheng Gao , Alvise Raccanelli , Zvonimir Vlah

We study the parity-odd part (that we shall call Doppler term) of the linear galaxy two-point correlation function that arises from wide-angle, velocity, Doppler lensing and cosmic acceleration effects. As it is important at low redshift…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-11 Alvise Raccanelli , Daniele Bertacca , Donghui Jeong , Mark C. Neyrinck , Alexander S. Szalay

We note that galaxy-galaxy lensing by non-spherical galaxy halos produces a net anti-correlation between the shear of background galaxies and the ellipticity of foreground galaxies. This anti-correlation would contaminate the tomographic…

Astrophysics · Physics 2009-11-11 Sarah Bridle , Filipe B. Abdalla

We perform theoretical and numerical studies of the full relativistic two-point galaxy correlation function, considering the linear-order scalar and tensor perturbation contributions and the wide-angle effects. Using the gauge-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Fulvio Scaccabarozzi , Jaiyul Yoo , Sang Gyu Biern

We use the two-point correlation function in redshift space, $\xi(s)$, to study the clustering of the galaxies and groups of the Nearby Optical Galaxy (NOG) Sample, which is a nearly all-sky, complete, magnitude-limited sample of \~7000…

Astrophysics · Physics 2007-05-23 G. Giuricin , S. Samurovic , M. Girardi , M. Mezzetti , C. Marinoni

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi

We study the impact of lensing magnification on the observed three-dimensional galaxy clustering in redshift space. We used the RayGal suite of N-body simulations, from which we extracted samples of dark matter particles and haloes in the…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-25 Michel-Andrès Breton , Sylvain de la Torre , Jade Piat

In fiber-fed galaxy redshift surveys, the finite size of the fiber plugs prevents two fibers from being placed too close to one another, limiting the ability of studying galaxy clustering on all scales. We present a new method for…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-07 Hong Guo , Idit Zehavi , Zheng Zheng

We place constraints on the matter density of the Universe and the amplitude of clustering using measurements of the galaxy two-point correlation function from the Sloan Digital Sky Survey (SDSS). We generate model predictions for different…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Vimal Simha , Shaun Cole

We study galaxy correlations from samples extracted from the 2dFGRS final release. Statistical properties are characterized by studying the nearest neighbor probability density, the conditional density and the reduced two-point correlation…

Astrophysics · Physics 2009-11-11 N. L. Vasilyev , Yu. V. Baryshev , F. Sylos Labini

We use the two-point correlation function to calculate the clustering properties of the recently completed SSRS2 survey. The redshift space correlation function for the magnitude-limited SSRS2 is given by xi(s)=(s/5.85 h-1 Mpc)^{-1.60} for…

Astrophysics · Physics 2010-05-25 C. N. A. Willmer , L. Nicolaci da Costa , P. S. Pellegrini

We present measurements of the redshift--space three-point correlation function of galaxies in the Sloan Digital Sky Survey (SDSS). For the first time, we analyze the dependence of this statistic on galaxy morphology, color and luminosity.…

We constrain the linear and quadratic bias parameters from the configuration dependence of the three-point correlation function (3PCF) in both redshift and projected space, utilizing measurements of spectroscopic galaxies in the Sloan…

We investigate the dependence of the strength of galaxy clustering on intrinsic luminosity using the Anglo-Australian two degree field galaxy redshift survey (2dFGRS). The 2dFGRS is over an order of magnitude larger than previous redshift…

We perform a blinded cosmology analysis with cosmic shear two-point correlation functions (2PCFs) measured from more than 25 million galaxies in the Hyper Suprime-Cam three-year shear catalog in four tomographic redshift bins ranging from…