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We investigate properties of the correlation function of clusters of galaxies using geometrical models. On small scales the correlation function depends on the shape and the size of superclusters. On large scales it describes the geometry…

Astrophysics · Physics 2015-06-24 J. Einasto , M. Einasto , P. Frisch , S. Gottlöber , V. Müller , V. Saar , A. A. Starobinsky , D. Tucker

We are presenting in this paper a detailed account of the methods used to compute the three-dimensional two-point galaxy correlation function in the VIMOS-VLT deep survey (VVDS). We investigate how instrumental selection effects and…

The large-scale matter distribution represents a complex network of structure elements such as voids, clusters, filaments, and sheets. This network is spanned by a point distribution. The global properties of the point process can be…

Astrophysics · Physics 2009-10-28 Andrei G. Doroshkevich , Stefan Gottloeber , Soeren Madsen

The survey volume of a proper motion-limited sample is typically much smaller than a magnitude-limited sample. This is because of the noisy astrometric measurements from detectors that are not dedicated for astrometric missions. In order to…

Instrumentation and Methods for Astrophysics · Physics 2017-05-01 Marco C. Lam

We study the clustering of voids using $N$-body simulations and simple theoretical models. The excursion-set formalism describes fairly well the abundance of voids identified with the watershed algorithm, although the void formation…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-19 Kwan Chuen Chan , Nico Hamaus , Vincent Desjacques

Voids are dominant features of the cosmic web. We revisit the cosmological information content of voids and connect void properties with the parameters of the background universe. We combine analytical results with a suite of large n-body…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-24 Benjamin C. Bromley , Margaret J. Geller

Cosmic voids are an important probe of large-scale structure that can constrain cosmological parameters and test cosmological models. We present a new paradigm for void studies: void detection in weak lensing convergence maps. This approach…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-08 Christopher T. Davies , Marius Cautun , Baojiu Li

Measuring the two-point correlation function of the galaxies in the Universe gives access to the underlying dark matter distribution, which is related to cosmological parameters and to the physics of the primordial Universe. The estimation…

We propose a novel technique to probe the expansion history of the Universe based on the clustering statistics of cosmic voids. In particular, we compute their two-point statistics in redshift space on the basis of realistic mock galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-11 Nico Hamaus , P. M. Sutter , Guilhem Lavaux , Benjamin D. Wandelt

Voids have emerged as a novel probe of cosmology and large-scale structure. These regions of extreme underdensity are sensitive to physics beyond the standard model of cosmology, and can potentially be used as a testing ground to constrain…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-23 Drew Jamieson , Marilena Loverde

We introduce a new approach for identifying and characterizing voids within two-dimensional (2D) point distributions through the integration of Delaunay triangulation and Voronoi diagrams, combined with a Minimal Distance Scoring algorithm.…

Computational Geometry · Computer Science 2024-01-01 Netzer Moriya

We measure the variance in the distribution of off-plane (|b|>20 deg.) galaxies with m_K<13.5 from the 2MASS K-band survey in circles of diameter between 0.344 deg. and 57.2 deg. The use of a near-infrared survey makes negligible the…

Astrophysics · Physics 2011-05-23 M. Lopez-Corredoira , J. E. Betancort-Rijo

Cosmic voids constitute promising cosmological laboratories. However, a full description of all the redshift-space effects that affect observational measurements is mandatory in order to obtain unbiased cosmological constraints. We make a…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-30 Carlos M. Correa , Dante J. Paz

We use simulations of the formation and evolution of the galaxy population in the Local Universe to address the issue of whether the standard theoretical model succeeds in producing empty regions as large and as dark as the observed nearby…

Astrophysics · Physics 2009-11-07 H. Mathis , S. D. M. White

The Sloan Digital Sky Survey has obtained 450 square degrees of photometric scan data, in five bands (u',g',r',i',z'), which we use to identify clusters of galaxies. We illustrate how we do star-galaxy separation, and present a simple and…

The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec displays a salient and pervasive foamlike pattern. Voronoi tessellations are a versatile and flexible mathematical model for such weblike spatial…

Astrophysics · Physics 2007-07-20 Rien van de Weygaert

We present a statistical analysis of voids in the 2dF galaxy redshift survey (2dFGRS). In order to detect the voids, we have developed two robust algorithms. We define voids as non-overlapping maximal spheres empty of halos or galaxies with…

Cosmic voids as typical under-density regions in the large scale Universe are known for their hyperbolic properties as an ability to deviate the photon beams. The under-density then is acting as the negative curvature in the hyperbolic…

General Relativity and Quantum Cosmology · Physics 2021-04-07 M. Samsonyan , A. A. Kocharyan , A. Stepanian , V. G. Gurzadyan

We perform a statistical study focused on void environments. We examine galaxy density profiles around voids in the SDSS, finding a correlation between void--centric distance to the shell of maximum density and void radius when a maximum in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 L. Ceccarelli , D. Paz , M. Lares , N. Padilla , D. García Lambas