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We present a comparative study of the accuracy and precision of correlation function methods and full-field inference in cosmological data analysis. To do so, we examine a Bayesian hierarchical model that predicts log-normal fields and…

宇宙学与河外天体物理 · 物理学 2021-09-07 Florent Leclercq , Alan Heavens

The Two-Point Angular Correlation Function is a standard analysis tool used to study angular anisotropies. Since BATSE's sky exposure (the angular sampling of gamma-ray bursts) is anisotropic, the TPACF should at some point identify…

天体物理学 · 物理学 2009-10-30 Xiaoling Chen , Jon Hakkila

We compute thermal 2-point correlation functions in the black brane $AdS_5$ background dual to 4d CFT's at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It…

高能物理 - 理论 · 物理学 2021-06-30 D. Rodriguez-Gomez , J. G. Russo

We study the mean number counts and two-point correlation functions, along with their covariance matrices, of cosmological surveys such as for clusters. In particular, we consider correlation functions averaged over finite redshift…

宇宙学与河外天体物理 · 物理学 2015-03-19 Patrick Valageas , Nicolas Clerc , Florian Pacaud , Marguerite Pierre

The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for clustering analysis of cosmic large scale structure. These functions are third order statistics but can be measured…

宇宙学与河外天体物理 · 物理学 2015-05-20 Kelai Meng , Jun Pan , Istvan Szapudi , Longlong Feng

The two-point correlation function (2pcf) is the key statistic in structure formation; it measures the clustering of galaxies or other density field tracers. Estimators of the 2pcf, including the standard Landy-Szalay (LS) estimator,…

宇宙学与河外天体物理 · 物理学 2021-03-31 Kate Storey-Fisher , David W. Hogg

Understanding the large-scale structure of the Universe requires analyses of cosmic clustering and its evolution over time. In this work, we investigate the clustering properties of SDSS blue galaxies, which are excellent tracers of dark…

宇宙学与河外天体物理 · 物理学 2025-11-03 Camila Franco , Felipe Avila , Armando Bernui

The clustering of matter on cosmological scales is an essential probe for studying the physical origin and composition of our Universe. To date, most of the direct studies have focused on shear-shear weak lensing correlations, but it is…

宇宙学与河外天体物理 · 物理学 2010-07-26 Tobias Baldauf , Robert E. Smith , Uros Seljak , Rachel Mandelbaum

We perform a fractal analysis of the Southern Sky Redshift Survey 2, following the methods prescribed by Pietronero and collaborators, to check their claim that the galaxy distribution is fractal at all scales, and we discuss and explain…

天体物理学 · 物理学 2007-05-23 A. Cappi , C. Benoist , L. N. da Costa , S. Maurogordato

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo…

天体物理学 · 物理学 2009-11-07 Masahiro Takada , Bhuvnesh Jain

Several recent studies show that bright, intermediate and high redshift optically and radio selected QSOs are positively correlated with nearby galaxies on a range of angular scales up to a degree. Obscuration by unevenly distributed…

天体物理学 · 物理学 2009-10-31 Liliya L. R. Williams

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…

天体物理学 · 物理学 2009-10-30 M. Lopez-Corredoira , F. Garzon , P. L. Hammersley , T. J. Mahoney

We present a study of the two-point correlation function of superclusters of galaxies. The largest catalogs are used. The results show negligible correlation less than 0.1-0.2 for separations up to 500-600 h^{-1} Mpc. Small correlations are…

天体物理学 · 物理学 2009-10-30 M. Kalinkov , I. Valtchanov , I. Kuneva

The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic…

数学物理 · 物理学 2015-06-16 E. Bogomolny , J. P. Keating

We show that current clustering observations of quasars and luminous AGN can be explained by a merger model augmented by feedback from outflows. Using numerical simulations large enough to study clustering out to 25 comoving h^{-1} Mpc, we…

天体物理学 · 物理学 2011-02-11 Robert J. Thacker , Evan Scannapieco , H. M. P. Couchman , Mark Richardson

In order to quantify the error budget in the measured probability distribution functions of cell densities, the two-point statistics of cosmic densities in concentric spheres is investigated. Bias functions are introduced as the ratio of…

宇宙学与河外天体物理 · 物理学 2016-06-08 Sandrine Codis , Francis Bernardeau , Christophe Pichon

We study the asymmetry in the two-point cross-correlation function of two populations of galaxies focusing in particular on the relativistic effects that include the gravitational redshift. We derive the cross-correlation function on small…

宇宙学与河外天体物理 · 物理学 2017-09-25 Elena Giusarma , Shadab Alam , Hongyu Zhu , Rupert A. C. Croft , Shirley Ho

We holographically calculate two-point functions in the pseudo-conformal universe, an early universe alternative to inflation. The pseudo-conformal universe can be modeled as a defect conformal field theory, where the reheating surface is a…

高能物理 - 理论 · 物理学 2021-01-04 Mariana Carrillo-Gonzalez , Kurt Hinterbichler , James Stokes , Mark Trodden

The existence of noncompatible observables in quantum theory makes a direct operational interpretation of two-point correlation functions problematic. Here we challenge such a view by explicitly constructing a measuring scheme that,…

量子物理 · 物理学 2013-12-17 Francesco Buscemi , Michele Dall'Arno , Masanao Ozawa , Vlatko Vedral

We analyze examples of projected two dimensional fractals for the case where the objects studied have a Schechter luminosity function. Our results indicate that two dimensional catalogues of sources could be of value in detecting the…

天体物理学 · 物理学 2007-05-23 R. Thieberger , E. A. Spiegel