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The highly nonlinear regime of gravitational clustering is characterized by the presence of scale-invariant form of many-body correlation functions. Useful insights can be obtained by investigating the consequences of a generic scaling {\em…

Astrophysics · Physics 2009-10-31 Dipak Munshi , Peter Coles , Adrian L. Melott

Most models for the connection between galaxies and their haloes ignore the possibility that galaxy properties may be correlated with halo properties other than mass, a phenomenon known as galaxy assembly bias. Yet, it is known that such…

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

A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coefficient, evaluates chances that two neighbours of a given vertex are adjacent. An extension is obtained by considering…

Applications · Statistics 2013-04-29 Mindaugas Bloznelis , Valentas Kurauskas

The Galactic disk is expected to be spatially, kinematically, and chemically clustered on many scales due to both star formation and non-axisymmetries in the Galactic potential. In this work we calculate the spatial and kinematic two-point…

Astrophysics of Galaxies · Physics 2021-11-24 Harshil Kamdar , Charlie Conroy , Yuan-Sen Ting , Kareem El-Badry

We use the Halo Model to explore the implications of assuming that galaxy luminosities in groups are randomly drawn from an underlying luminosity function. We show that even the simplest of such order statistics models -- one in which this…

Astrophysics of Galaxies · Physics 2017-01-18 Niladri Paul , Aseem Paranjape , Ravi K. Sheth

We study the galaxy clustering dependence on the $\left[\mathrm{O\scriptsize{II}}\right]$ emission line luminosity in the SDSS DR7 Main galaxy sample at mean redshift $z\sim0.1$. We select volume-limited samples of galaxies with different…

Galactic conformity is the phenomenon whereby galaxy properties exhibit excess correlations across distance than that expected if these properties only depended on halo mass. We perform a comprehensive study of conformity at low redshift…

Astrophysics of Galaxies · Physics 2018-08-16 Victor F. Calderon , Andreas A. Berlind , Manodeep Sinha

We calculated spatial correlation functions of galaxies, $\xi(r)$, structure functions, $g(r)=1 +\xi(r)$, gradient functions, $\gamma(r)= d \log g(r)/ d \log r$, and fractal dimension functions, $D(r)= 3+\gamma(r)$, using dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-12 J. Einasto , G. Hütsi , T. Kuutma , M. Einasto

The clustering of galaxy clusters is a powerful cosmological tool, which can help to break degeneracies between parameters when combined with other cosmological observables. We aim to demonstrate its potential in constraining cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-16 Alessandra Fumagalli , Matteo Costanzi , Alexandro Saro , Tiago Castro , Stefano Borgani

We compute covariance matrices for many observed estimates of the stellar mass function of galaxies from $z=0$ to $z\approx 4$, and for one estimate of the projected correlation function of galaxies split by stellar mass at $z\lesssim 0.5$.…

Astrophysics of Galaxies · Physics 2018-10-17 Andrew J. Benson

A new approach to the study of the large-scale stellar cluster distribution in the Galaxy based on two-point correlation techniques is presented. The basic formalism for this method is outlined and its applications are then investigated by…

Astrophysics · Physics 2009-10-30 M. Lopez-Corredoira , F. Garzon , P. L. Hammersley , T. J. Mahoney

Galaxy clusters exhibit regular scaling relations among their bulk properties. These relations establish vital links between halo mass and cluster observables. Precision cosmology studies that depend on these links benefit from a better…

Astrophysics · Physics 2009-11-13 David A. Ventimiglia , G. Mark Voit , Megan Donahue , S. Ameglio

Correlation functions and related statistics have been favorite measures of the distributions of extragalactic objects ever since people started analyzing the clustering of the galaxies in the 1930s. I review the evolving reasons for this…

Astrophysics · Physics 2007-05-23 P. J. E. Peebles

We study the clustering of galaxies detected at $i<22.5$ in the Science Verification observations of the Dark Energy Survey (DES). Two-point correlation functions are measured using $2.3\times 10^6$ galaxies over a contiguous 116 deg$^2$…

The mark weighted correlation function (MCF) $W(s,\mu)$ is a computationally efficient statistical measure which can probe clustering information beyond that of the conventional 2-point statistics. In this work, we extend the traditional…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Xiaoyuan Xiao , Yizhao Yang , Xiaolin Luo , Jiacheng Ding , Zhiqi Huang , Xin Wang , Yi Zheng , Cristiano G. Sabiu , Jaime Forero-Romero , Haitao Miao , Xiao-Dong Li

Galaxy-galaxy lensing is rapidly becoming one of the most promising means to accurately measure the average relation between galaxy properties and halo mass. In order to obtain a signal of sufficient signal-to-noise, one needs to stack many…

We extend the subhalo abundance matching method to assign galaxy color to subhalos. We separate a luminosity-binned subhalo sample into two groups by a secondary subhalo property which is presumed to be correlated with galaxy color. The two…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Shogo Masaki , Yen-Ting Lin , Naoki Yoshida

We identify close pairs of galaxies from 278 deg^2 of Sloan Digital Sky Survey commissioning imaging data. The pairs are drawn from a sample of 330,041 galaxies with 18 < r^* < 20. We determine the angular correlation function of galaxy…