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The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a…

High Energy Physics - Theory · Physics 2009-10-30 M. G. Harris , J. Ambjorn

Galaxy clusters are tracers of the large scale structures of the Universe, making the time evolution of their mass function dependent on key cosmological parameters, such as the cosmic matter density or the amplitude of density fluctuations…

Likelihood fitting to two-point clustering statistics made from galaxy surveys usually assumes a multivariate normal distribution for the measurements, with justification based on the central limit theorem given the large number of…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-23 Mike Shengbo Wang , Will J. Percival , Santiago Avila , Robert Crittenden , Davide Bianchi

Accurate measurement of the cluster mass function is a crucial element in efforts to constrain structure formation models, the normalisation of the matter power spectrum and the cosmological matter density, and the nature and evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Virginia L. Corless , Lindsay J. King

Analytical templates for the covariance matrix of the 4-Point Correlation Function (4PCF) have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the first non-Gaussian calculation of the 4PCF…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 William Ortolá Leonard , Zachary Slepian

We analyze the Dark Energy Survey (DES) Year 3 data using predictions from the Effective Field Theory of Large-Scale Structure (EFTofLSS). Specifically, we fit three two-point observables (3$\times$2pt), galaxy clustering, galaxy-galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Guido D'Amico , Alexandre Refregier , Leonardo Senatore , Pierre Zhang

Scene viewing is used to study attentional selection in complex but still controlled environments. One of the main observations on eye movements during scene viewing is the inhomogeneous distribution of fixation locations: While some parts…

Neurons and Cognition · Quantitative Biology 2018-11-14 Hans A. Trukenbrod , Simon Barthelmé , Felix A. Wichmann , Ralf Engbert

We constrain the linear and quadratic bias parameters from the configuration dependence of the three-point correlation function (3PCF) in both redshift and projected space, utilizing measurements of spectroscopic galaxies in the Sloan…

The shapes of galaxy N-point correlation functions can be used as standard rulers to constrain the distance-redshift relationship and thence the expansion rate of the Universe. The cosmological density fields traced by late-time galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Lado Samushia , Zachary Slepian , Francisco Villaescusa-Navarro

We present an investigation into the effects of survey systematics such as varying depth, point spread function (PSF) size, and extinction on the galaxy selection and correlation in photometric, multi-epoch, wide area surveys. We take the…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Christopher Brian Morrison , Hendrik Hildebrandt

We show how a characteristic length scale imprinted in the galaxy two-point correlation function, dubbed the "linear point", can serve as a comoving cosmological standard ruler. In contrast to the Baryon Acoustic Oscillation peak location,…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Stefano Anselmi , Glenn D. Starkman , Pier-Stefano Corasaniti , Ravi K. Sheth , Idit Zehavi

Applying the holographic method, we investigate correlation functions of boundary and defect conformal field theories. To describe boundary conformal field theory, we consider an end of the world brane in an asymptotic AdS space which…

High Energy Physics - Theory · Physics 2024-08-05 Chanyong Park

The combination of galaxy-galaxy lensing and galaxy clustering data has the potential to simultaneously constrain both the cosmological and galaxy formation models. In this paper we perform a comprehensive exploration of these signals and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Laura Marian , Robert E. Smith , Raul E. Angulo

Gravitational clustering broadens the count-in-cells distribution of galaxies for surveys along uncorrelated (well-separated) lines of sight beyond Poisson noise. A number of methods have proposed to measure this excess "cosmic" variance to…

Astrophysics of Galaxies · Physics 2018-11-28 Alex Cameron , Michele Trenti , Rachael Livermore , Cameron van der Velden

We develop an improved Alcock-Paczynski (AP) test method that uses the redshift-space two-point correlation function (2pCF) of galaxies. Cosmological constraints can be obtained by examining the redshift dependence of the normalized 2pCF,…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Hyunbae Park , Changbom Park , Cristiano G. Sabiu , Xiao-dong Li , Sungwook E. Hong , Juhan Kim , Motonari Tonegawa , Yi Zheng

We introduce a novel unbiased, cross-correlation estimator for the one-point statistics of cosmological random fields. One-point statistics are a useful tool for analysis of highly non-Gaussian density fields, while cross-correlations…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Patrick C. Breysse , Dongwoo T. Chung , Håvard T. Ihle

We explore the cosmological implications of the clustering wedges, xi_perp(s) and xi_para(s), of the CMASS Data Release 9 (DR9) sample of the Baryon Oscillation Spectroscopic Survey (BOSS). These clustering wedges are defined by averaging…

Weak gravitational lensing alters the apparent separations between observed sources, potentially affecting clustering statistics. We derive a general expression for the lensing deflection which is valid for any three-point statistic, and…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 Susan Pyne , Benjamin Joachimi , Hiranya V. Peiris

We present a measurement of the linear growth rate of structure, \textit{f} from the Sloan Digital Sky Survey III (SDSS III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12 (DR12) using Convolution Lagrangian Perturbation…

A statistical method for the estimation of spatial correlation lengths of Gaussian-shaped fluctuating signals with two measurement points is examined to quantitatively evaluate its reliability (variance) and accuracy (bias error). The…

Plasma Physics · Physics 2016-08-24 Jaewook Kim , Y. U. Nam , M. Lampert , Y. -c. Ghim