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We show that intrinsic (not lensing-induced) correlations between galaxy shapes offer a new probe of primordial non-Gaussianity and inflationary physics which is complementary to galaxy number counts. Specifically, intrinsic alignment…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-25 Fabian Schmidt , Nora Elisa Chisari , Cora Dvorkin

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

Context: Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used in Bayesian parameter estimation, their likelihood function is usually replaced by a Gaussian approximation.…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-07 David Keitel , Peter Schneider

We use the 2dF Galaxy Group Catalogue constructed by Merch\'an & Zandivarez to study the large scale structure of the Universe traced by galaxy groups. We concentrate on the computation of the power spectrum and the two point correlation…

Astrophysics · Physics 2009-11-07 Ariel Zandivarez , Manuel E. Merchan , Nelson D. Padilla

We present an in-depth investigation of galaxy clustering based on a new suite of realistic large-box galaxy-formation simulations in $f(R)$ gravity, with a subgrid physics model that has been recalibrated to reproduce various observed…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Michael Collier , Sownak Bose , Baojiu Li

Due to instrumental limitations, the nature of which vary from case to case, spectroscopic galaxy redshift surveys usually do not collect redshifts for all galaxies in the population of potential targets. Especially problematic is the…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-27 Davide Bianchi , Licia Verde

Padmanabhan (1996) has suggested a model to relate the nonlinear two - point correlation function to the linear two - point correlation function. In this paper, we extend this model in two directions: (1) By averaging over the initial…

Astrophysics · Physics 2015-06-24 Dipak Munshi , T. Padmanabhan

We present the galaxy two-point angular correlation function for galaxies selected from the seventh data release of the Sloan Digital Sky Survey. The galaxy sample was selected with $r$-band apparent magnitudes between 17 and 21; and we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Y. Wang , R. J. Brunner , J. C. Dolence

Current and future galaxy surveys cover a large fraction of the entire sky with a significant redshift range, and the recent theoretical development shows that general relativistic effects are present in galaxy clustering on very large…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Jaiyul Yoo , Uros Seljak

We introduce the unbiased way statisticians look at the 2--point correlation function and study its relation to multifractal analysis. We apply this method to a simulation of the distribution of galaxy clusters in order to check the…

Astrophysics · Physics 2007-05-23 Vicent J. Martinez , Maria Jesus Pons-Borderia

We investigate the variation of galaxy clustering with luminosity using the recently completed SSRS2 sample. Clustering measurements based on the two-point correlation function and the variance of counts in cells reveal the existence of a…

Astrophysics · Physics 2009-10-28 C. Benoist , S. Maurogordato , L. N. da Costa , A. Cappi , R. Schaeffer

Given the important role that the galaxy bispectrum has recently acquired in cosmology and the scale and precision of forthcoming galaxy clustering observations, it is timely to derive the full expression of the large-scale bispectrum going…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-31 Daniele Bertacca , Alvise Raccanelli , Nicola Bartolo , Michele Liguori , Sabino Matarrese , Licia Verde

We investigate the spatial clustering of galaxies in the PSCz galaxy redshift survey, as revealed by the two-point correlation function, the luminosity mark correlations, and the moments of counts-in-cells. We construct volume-limited…

Astrophysics · Physics 2009-10-31 István Szapudi , Enzo Branchini , C. S. Frenk , Steve Maddox , Will Saunders

Gravitational lensing allows to quantify the angular distribution of the convergence field around clusters of galaxies to constrain their connectivity to the cosmic web. We describe in this paper the corresponding theory in Lagrangian space…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Sandrine Codis , Raphael Gavazzi , Christophe Pichon , Celine Gouin

We discuss the second order contributions to lensing statistics resulting from the clustering of background sources from which galaxy shape measurements are made in weak lensing experiments. In addition to a previously discussed…

Astrophysics · Physics 2007-05-23 Asantha Cooray

Future surveys will access large volumes of space and hence very long wavelength fluctuations of the matter density and gravitational field. It has been argued that the set of secondary effects that affect the galaxy distribution,…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-15 Christiane S. Lorenz , David Alonso , Pedro G. Ferreira

We show an efficient way to compute wide-angle or all-sky statistics of galaxy intrinsic alignment in three-dimensional configuration space. For this purpose, we expand the two-point correlation function using a newly introduced…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-05 Maresuke Shiraishi , Atsushi Taruya , Teppei Okumura , Kazuyuki Akitsu

Intrinsic galaxy alignments yield an important contribution to the observed statistics of galaxy shapes. The general bias expansion for galaxy sizes and shapes in three dimensions has been recently described by Vlah, Chisari \& Schmidt…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-02 Zvonimir Vlah , Nora Elisa Chisari , Fabian Schmidt

Gravitational clustering broadens the count-in-cells distribution of galaxies for surveys along uncorrelated (well-separated) lines of sight beyond Poisson noise. A number of methods have proposed to measure this excess "cosmic" variance to…

Astrophysics of Galaxies · Physics 2018-11-28 Alex Cameron , Michele Trenti , Rachael Livermore , Cameron van der Velden

We compute both extrinsic (lensing) and intrinsic contributions to the (galaxy-)density-ellipticity correlation function, the latter done using current analytic theories of tidal alignment. The gravitational lensing contribution has two…

Astrophysics · Physics 2023-04-19 Lam Hui , Jun Zhang