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The galaxy correlation function serves as a fundamental tool for studying cosmology, galaxy formation, and the nature of dark matter. It is well established that more massive, redder and more compact galaxies tend to have stronger…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-27 Ziwen Zhang , Yangyao Chen , Yu Rong , Huiyuan Wang , Houjun Mo , Xiong Luo , Hao Li

Aims. Our goal is to find the relation between the two-point correlation functions (CFs) of projected and spatial density fields of galaxies in the context of the cosmic web. Methods. To investigate relations between spatial (3D) and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 J. Einasto , G. Hütsi , M. Einasto

How is mass distributed in the Universe? How does it compare with the distribution of light and stars? We address these questions by examining the distribution of mass, determined from weak lensing observations, and starlight, around…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-29 Neta A. Bahcall , Andrea Kulier

We report on the measurement of the two-point correlation function, and the pairwise peculiar velocity of galaxies in the IRAS PSCz survey. We compute these statistics first in redshift space, and then obtain the projected functions which…

Astrophysics · Physics 2009-11-06 Y. P. Jing , G. Boerner , Yasushi Suto

The 2-point angular correlation function of galaxies, \wt, has been computed on equatorial fields observed with the CTIO 4m prime focus, within a total area of 2.31 deg$^2$. In the magnitude range $19\le m_R \le 21.5$, corresponding to…

Astrophysics · Physics 2009-10-28 L. Infante , D. F. de Mello , F. Menanteau

Using the apparatus of correlation Gamma-function (``conditional density''), we have analyzed spatial clustering of objects from several different samples of galaxies, clusters and superclusters. On small scales the distribution of objects…

Astrophysics · Physics 2007-05-23 A. V. Tikhonov , D. I. Makarov , A. I. Kopylov

The correlation properties of the nonaffine elastic response in strongly disordered materials are investigated using the theory of correlated random matrices and supported by numerical models. While the nonaffine displacement field itself…

Disordered Systems and Neural Networks · Physics 2026-04-09 D. A. Conyuh , D. V. Babin , I. O. Raikov , Y. M. Beltukov

We analyse the spatial clustering properties of the RASS1 Bright Sample, an X-ray flux-limited catalogue of galaxy clusters selected from the southern part of the $ROSAT$ All-Sky Survey. The two-point correlation function $\xi(r)$ of the…

Astrophysics · Physics 2008-11-26 Lauro Moscardini , Sabino Matarrese , Sabrina De Grandi , Francesco Lucchin

We outline a simple approach to understanding the physical origin of bias in the distribution of galaxies relative to that of dark matter. The first step is to specify how collapsed, virialized halos of dark matter trace the overall matter…

Astrophysics · Physics 2015-06-24 Guinevere Kauffmann , Adi Nusser , Matthias Steinmetz

Viscous unified dark matter models aim to describe the dark sector of the Universe, as the dark matter fluid itself gives rise to an accelerated expansion due to a negative bulk viscous pressure. However, in most studies, radiation is often…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Guillermo Palma , Gabriel Gomez , Norman Cruz

The Sloan Digital Sky Survey is one of the first multicolor photometric and spectroscopic surveys designed to measure the statistical properties of galaxies within the local Universe. In this Letter we present some of the initial results on…

The energy-energy correlation function of the two-dimensional Ising model with weakly fluctuating random bonds is evaluated in the large scale limit. Two correlation lengths exist in contrast to one correlation length in the pure 2D Ising…

Condensed Matter · Physics 2007-05-23 K. Ziegler

The behavior of the bulk two-point correlation function $G({\bf r};T|d)$ in $d$-dimensional system with van der Waals type interactions is investigated and its consequences on the finite-size scaling properties of the susceptibility in such…

Statistical Mechanics · Physics 2009-11-07 Daniel M. Dantchev

We present an in-depth study of two-component cold dark matter via extensive N-body simulations. We examine various cosmological observables including the temperature evolution, power spectrum, density perturbation, maximum circular…

High Energy Physics - Phenomenology · Physics 2024-10-10 Jeong Han Kim , Kyoungchul Kong , Se Hwan Lim , Jong-Chul Park

The Lambda-Cold Dark Matter (LCDM) model agrees with most of the cosmological observations, but has some hindrances from observed data at smaller scales such as galaxies. Recently, Berezhiani and Khoury (2015) proposed a new theory…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Shreya Banerjee , Sayantani Bera , David F. Mota

We use a combination of N-body simulations of the hierarchical clustering of dark matter and semi-analytic modelling of the physics of galaxy formation to probe the relationship between the galaxy distribution and the mass distribution. The…

Astrophysics · Physics 2009-10-31 A. J. Benson , C. M. Baugh , S. Cole , C. S. Frenk , C. G. Lacey

We consider a system of harmonic oscillators with short range interactions and we study their correlation functions when the initial data is sampled with respect to the Gibbs measure. Such correlation functions display rapid oscillations…

Mathematical Physics · Physics 2021-03-24 Guido Mazzuca , Tamara Grava , Thomas Kriecherbauer , Ken D. T. -R. McLaughlin

The evolution of the cluster mass function and the cluster correlation function from z = 0 to z = 3 are determined using 10^6 clusters obtained from high-resolution simulations of the current best-fit LCDM cosmology (\Omega_m = 0.27,…

Astrophysics · Physics 2016-08-30 Joshua D. Younger , Neta A. Bahcall , Paul Bode

We investigate the possible accuracy that can be reached by analytical models for the matter density power spectrum and correlation function. Using a realistic description of the power spectrum that combines perturbation theory with a halo…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-17 Patrick Valageas

We use self-similarity in N-body simulations of scale-free models to test for resolution dependence in the mass function and two-point correlation functions of dark matter halos. We use 1024$^3$ particle simulations performed with ABACUS,…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-22 M. Leroy , L. Garrison , D. Eisenstein , M. Joyce , S. Maleubre