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We present new predictions for the galaxy three-point correlation function (3PCF) using high-resolution dissipationless cosmological simulations of a flat LCDM Universe which resolve galaxy-size halos and subhalos. We create realistic mock…

Astrophysics · Physics 2008-11-26 Felipe Marin , Risa Wechsler , Joshua Frieman , Robert Nichol

The non-Gaussian part of the covariance matrix of the galaxy power spectrum involves the connected four-point correlation in Fourier space, i.e. trispectrum. This paper introduces a fast method to compute the non-Gaussian part of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-07 Yosuke Kobayashi

We present the results of a study of the two-point correlation function for a sample of field galaxies taken from the CNOCI cluster survey. The sample consists of 144 galaxies within a contiguous region of space subtending 225 square…

Astrophysics · Physics 2007-05-23 C. W. Shepherd , R. G. Carlberg , H. K. C. Yee , E. Ellingson

I present a method for the fast convolution of a model galaxy profile by a point-spread function (PSF) model represented as a pixel grid. The method relies upon three observations: First, most simple radial galaxy profiles of common…

Instrumentation and Methods for Astrophysics · Physics 2021-01-01 Dustin Lang

We present a new $\texttt{python}$ package SARABANDE for measuring 3 & 4 Point Correlation Functions (3/4 PCFs) in $\mathcal{O}(N_{\rm g} \log N_{\rm g})$ time using Fast Fourier Transforms (FFTs), with $N_{\rm g}$ the number of grid points…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 James Sunseri , Zachary Slepian , Stephen Portillo , Jiamin Hou , Sule Kahraman , Douglas P. Finkbeiner

We present a simple and efficient phenomenological model for the two-dimensional two-point galaxy correlation function that works well over a wide range of scales, from large scales down to scales as small as 25Mpc/h. Our model incorporates…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Chia-Hsun Chuang , Yun Wang

We present an improved framework for estimating the growth rate of large-scale structure, using measurements of the galaxy-velocity cross-correlation in configuration space. We consider standard estimators of the velocity auto-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Ryan J. Turner , Chris Blake , Rossana Ruggeri

There is empirical evidence that the two-point correlation function of the galaxy distribution follows, for small scales, reasonably well a power-law expression $\xi(r)\propto r^{-\gamma}$ with $\gamma$ between 1.5 and 1.9. Nevertheless,…

Astrophysics · Physics 2009-11-07 Martin Snethlage , Vicent J. Martinez , Dietrich Stoyan , Enn Saar

We show how to calculate correlation functions of two matrix models. Our method consists in making full use of the integrable hierarchies and their reductions, which were shown in previous papers to naturally appear in multi--matrix models.…

High Energy Physics - Theory · Physics 2008-02-03 L. Bonora , C. S. Xiong

We present analyses of the two-point correlation function derived from an all-sky redshift survey of 5313 galaxies extracted from the Infrared Astronomical Satellite (IRAS) database. The redshift space correlation function \xi(s) is well…

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

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

Percolation analysis has long been used to quantify the connectivity of the cosmic web. Most of the previous work is based on density fields on grids. By smoothing into fields, we lose information about galaxy properties like shape or…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-07 Jiajun Zhang , Dalong Cheng , Ming-Chung Chu

In a detailed analysis of the three point correlation function (3PCF) for the 2dF Galaxy Redshift Survey we have accurately measured the 3PCF for galaxies of different luminosity. The 3PCF amplitudes [$\Qsu$ or $\Qrpu$] of the galaxies…

Astrophysics · Physics 2009-11-10 Y. P. Jing , G. Boerner

A class of improved estimators is proposed for N-point correlation functions of galaxy clustering, and for discrete spatial random processes in general. In the limit of weak clustering, the variance of the unbiased estimator converges to…

Astrophysics · Physics 2007-05-23 István Szapudi , Alexander S. Szalay

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

We present a new approach to measuring cosmic expansion history and growth rate of large scale structure using the anisotropic two dimensional galaxy correlation function (2DCF) measured from data; it makes use of the empirical modeling of…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Yun Wang

We measure the monopole moment of the three-point correlation function on scales $1\mpc-70\mpc$ in the Two degree Field Galaxy Redshift Survey (2dFGRS). Volume limited samples are constructed using a series of integral magnitudes bins…

Astrophysics · Physics 2009-11-11 Jun Pan , Istvan Szapudi

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function,…

Nuclear Theory · Physics 2026-03-11 Sheng Xiao , Yijie Wang , Zhigang Xiao

Due to late time non-linearities, the location of the acoustic peak in the two-point galaxy correlation function is a redshift-dependent quantity, thus it cannot be simply employed as a cosmological standard ruler. This has motivated the…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 Stefano Anselmi , Pier-Stefano Corasaniti , Glenn D. Starkman , Ravi K. Sheth , Idit Zehavi

The tomographic Alcock-Paczynski(AP) method, developed over the past decade, exploits redshift evolution for cosmological determination, aiming to mitigate contamination from redshift distortions and capture nonlinear scale information.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Liang Xiao , Limin Lai , Zhujun Jiang , Xiao-Dong Li , Le Zhang