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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

Pairwise velocities of the large-scale structure encode valuable information about the growth of structure. They can be observed indirectly through redshift-space distortions and the kinetic Sunyaev-Zeldovich effect. Whether it is Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Aritra Kumar Gon , Yan-Chuan Cai

We consider a situation where the density and peculiar velocities in real space are linear, and we calculate \xi_s the two-point correlation function in redshift space, incorporating all non-linear effects which arise as a consequence of…

Astrophysics · Physics 2009-11-06 Somnath Bharadwaj

The mass density distribution of Newtonian self-gravitating systems is studied analytically in field theoretical method. Modeling the system as a fluid in hydrostatical equilibrium, we apply Schwinger's functional derivative on the average…

Astrophysics of Galaxies · Physics 2021-07-21 Yang Zhang , Qing Chen , Shuguang Wu

We show that in a hierarchical clustering model the low-order statistics of the density and the peculiar velocity fields can all be modelled semianalytically for a given cosmology and an initial density perturbation power spectrum $P(k)$.…

Astrophysics · Physics 2015-06-24 H. J. Mo , Y. P. Jing , G. Börner

We investigate the impact of the observed correlation between a galaxies shape and its surrounding density field on the measurement of third order weak lensing shear statistics. Using numerical simulations, we estimate the systematic error…

We use high-resolution N-body simulations to develop a new, flexible, empirical approach for measuring the growth rate from redshift-space distortions (RSD) in the 2-point galaxy correlation function. We quantify the systematic error in…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-22 Carlos Contreras , Chris Blake , Gregory B. Poole , Felipe Marin

The peculiar velocities of biased tracers of the cosmic density field contain important information about the growth of large scale structure and generate anisotropy in the observed clustering of galaxies. Using N-body data, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-05 Shi-Fan Chen , Zvonimir Vlah , Martin White

We calculate the dark matter halo correlation function in redshift space using the Gaussian streaming model (GSM). To determine the scale dependent functions entering the streaming model we use local Lagrangian bias together with…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Michael Kopp , Cora Uhlemann , Ixandra Achitouv

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 study streaming algorithms for Correlation Clustering. Given a graph as an arbitrary-order stream of edges, with each edge labeled as positive or negative, the goal is to partition the vertices into disjoint clusters, such that the…

Data Structures and Algorithms · Computer Science 2025-10-14 Yinhao Dong , Shan Jiang , Shi Li , Pan Peng

This paper presents a comparison of the predictions for the 2 and 3-point correlation functions of density fluctuations, xi_2 and xi_3, in gravitational perturbation theory (PT) against large Cold Dark Matter (CDM) simulations. This…

Astrophysics · Physics 2009-11-07 J. Barriga , E. Gaztanaga

The definition and the properties of a Gaussian point distribution, in contrast to the well-known properties of a Gaussian random field are discussed. Constraints for the number density and the two-point correlation function arise. A simple…

Astrophysics · Physics 2009-11-06 M. Kerscher

The era of real-time cosmology has begun. It is now possible to directly measure the apparent drift of high-redshift astronomical sources across the sky $\textit{in real time}$. This so-called $\textit{position drift}$ provides a valuable…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-01 Alexander Oestreicher , Chris Clarkson , Julian Adamek , Sofie Marie Koksbang

We present a detailed analysis of the two-point correlation function, from the 2dF Galaxy Redshift Survey (2dFGRS). We estimate the redshift-space correlation function, xi(s), from which we measure the redshift-space clustering length,…

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

It is crucial to understand and model a behavior of galaxy biasing for future ambitious galaxy redshift surveys. Using 40 large cosmological N-body simulations for a standard LambdaCDM cosmology, we study the cross-correlation coefficient…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Masanori Sato , Takahiko Matsubara

The 3-Point Correlation Function (3PCF), which measures correlations between triplets of galaxies encodes information about peculiar velocities, which distort the observed positions of galaxies along the line of sight away from their true…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-09 Karolina Garcia , Zachary Slepian

In this paper, we present a new self-supervised scene flow estimation approach for a pair of consecutive point clouds. The key idea of our approach is to represent discrete point clouds as continuous probability density functions using…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Pan He , Patrick Emami , Sanjay Ranka , Anand Rangarajan

Large redshift surveys of galaxies and clusters are providing the first opportunities to search for distortions in the observed pattern of large-scale structure due to such effects as gravitational redshift. We focus on non-linear scales…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-25 Hongyu Zhu , Shadab Alam , Rupert A. C. Croft , Shirley Ho , Elena Giusarma