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We present models for the three-point correlation function (3PCF) of both dark matter and galaxies. We show that models based on the halo model can reasonably match the dark matter 3PCF obtained from high-resolution $N$-body simulations. On…

Astrophysics · Physics 2009-11-10 Yu Wang , Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , YaoQuan Chu

We analyse the spatial clustering properties of a new catalogue of very rich galaxy clusters selected from the APM Galaxy Survey. These clusters are of comparable richness and space density to Abell Richness Class $\geq 1$ clusters, but…

We calculate the normalized angular three-point correlation function (3PCF), $q$, as well as the normalized angular skewness, $s_3$, assuming the small-angle approximation, for a biased mass distribution in flat and open cold-dark-matter…

Astrophysics · Physics 2009-10-31 Ari Buchalter , Marc Kamionkowski , Andrew H. Jaffe

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

We study the observed evolution of galaxy clustering as a function of redshift. We find that the clustering of galaxies decreases as we go from observations of the local Universe to $z \sim 2$. On the other hand, clustering of the Lyman…

Astrophysics · Physics 2009-10-31 M. Magliocchetti , J. S. Bagla , S. J. Maddox , O. Lahav

Based on the field theory of density fluctuation under Newtonian gravity, we obtain analytically the nonlinear equation of 3-pt correlation function $\zeta$ of galaxies in a homogeneous, isotropic, static universe. The density fluctuations…

Astrophysics of Galaxies · Physics 2022-09-20 Shu-Guang Wu , Yang Zhang

We analyse parallel N-body simulations of three Cold Dark Matter (CDM) universes to study the abundance and clustering of galaxy clusters. The simulations cover a volume comparable to the forthcoming SDSS. We are able to make robust…

Astrophysics · Physics 2008-11-26 F. Governato , A. Babul , T. Quinn , P. Tozzi , C. M. Baugh , N. Katz , G. Lake

We present new estimates of the spatial two-point correlation function of rich clusters of galaxies selected from the APM Galaxy Survey. We have measured redshifts for a sample of $364$ clusters out to a depth of $\sim 450\hmpc$. The…

Astrophysics · Physics 2016-06-08 G. B. Dalton , R. A. C. Croft , G. Efstathiou , W. J. Sutherland , S. J. Maddox , M. Davis

We study the clustering properties of the recently compiled SDSS cluster catalog using the two point correlation function in redshift space. We divide the total SDSS sample into two richness subsamples, roughly corresponding to Abell $R\ge…

Astrophysics · Physics 2009-11-07 S. Basilakos , M. Plionis

We use ensembles of high-resolution CDM simulations to investigate the shape and amplitude of the two point correlation function of rich clusters. The standard scale-invariant CDM model with $\Omega=1$ provides a poor description of the…

Astrophysics · Physics 2015-06-24 R. A. C. Croft , G. Efstathiou

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 have investigated the dependence of galaxy clustering on their stellar mass at z~1, using the data from the VIMOS-VLT Deep Survey (VVDS). We have measured the projected two-point correlation function of galaxies, wp(rp) for a set of…

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 report results for the angular three-point galaxy correlation function in the APM survey and compare them with theoretical expectations. For the first time, these measurements extend to sufficiently large scales to probe the weakly…

Astrophysics · Physics 2009-10-31 J. A. Frieman , E. Gaztanaga

We have investigated the dependence of galaxy clustering on their intrinsic luminosities at z ~ 1, using the data from the First Epoch VIMOS-VLT Deep Survey (VVDS). We have measured the projected two-point correlation function of galaxies,…

Astrophysics · Physics 2007-05-23 A. Pollo , L. Guzzo , O. Le Fevre , B. Meneux , the VVDS team

Higher-order statistics are a useful and complementary tool for measuring the clustering of galaxies, containing information on the non-gaussian evolution and morphology of large-scale structure in the Universe. In this work we present…

The integrated shear 3-point correlation function $\zeta_{\pm}$ is a higher-order statistic of the cosmic shear field that describes the modulation of the 2-point correlation function $\xi_{\pm}$ by long-wavelength features in the field.…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-16 Anik Halder , Alexandre Barreira

The three-point correlation function (3PCF) for galaxies provides an opportunity to measure the non-Gaussianity generated from nonlinear structure formation and also probes information about galaxy formation and evolution that is generally…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-30 Hong Guo , Cheng Li , Y. P. Jing , G. Börner

The three-point correlation function (3PCF) is a powerful probe to investigate the clustering of matter in the Universe in a complementary way with respect to lower-order statistics, providing additional information with respect to the…

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We calculate quasilinear effects in the growth of structure in f(R) models of gravity using perturbation…

Astrophysics · Physics 2009-10-29 Alex Borisov , Bhuvnesh Jain