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We study the effect of primordial non-Gaussianity on the development of large-scale cosmic structure using high-resolution N-body simulations. In particular, we focus on the topological properties of the "cosmic web", quantitatively…

The one-point probability distribution function (pdf) is computed for the $25\hmpc$-smoothed density field of rich clusters of galaxies in the Abell/\aco\ catalogs. The observed pdf is compared to the pdf s drawn similarly from mock…

天体物理学 · 物理学 2007-05-23 Tsafrir Kolatt

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

天体物理学 · 物理学 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi

Several inflationary models predict the possibility that the primordial perturbations of the density field may contain a degree of non-Gaussianity which would influence the subsequent evolution of cosmic structures at large scales. In order…

宇宙学与河外天体物理 · 物理学 2011-04-07 M. Roncarelli , L. Moscardini , E. Branchini , K. Dolag , M. Grossi , F. Iannuzzi , S. Matarrese

Using cosmological N-body simulations, we study the abundance of local maxima (peaks) and minima (dips) identified in the smoothed distribution of halos and dark matter (DM) on scales of $10-100$s Mpcs. The simulations include Gaussian and…

宇宙学与河外天体物理 · 物理学 2018-08-08 Adi Nusser , Matteo Biagetti , Vincent Desjacques

We perform cosmological N-body simulations with non-Gaussian initial conditions generated from two independent fields. The dominant contribution to the perturbations comes from a purely Gaussian field, but we allow the second field to have…

宇宙学与河外天体物理 · 物理学 2014-06-25 Saroj Adhikari , Sarah Shandera , Neal Dalal

We use a Press-Schechter-like calculation to study how the abundance of voids changes in models with non-Gaussian initial conditions. While a positive skewness increases the cluster abundance, a negative skewness does the same for the void…

天体物理学 · 物理学 2009-11-13 Marc Kamionkowski , Licia Verde , Raul Jimenez

We use the spherical evolution approximation to investigate nonlinear evolution from the non-Gaussian initial conditions characteristic of the local f_nl model. We provide an analytic formula for the nonlinearly evolved probability…

天体物理学 · 物理学 2009-11-13 Tsz Yan Lam , Ravi K. Sheth

The statistical meaning of the local non-Gaussianity parameters f_NL and g_NL is examined in detail. Their relations to the skewness and the kurtosis of the probability distribution of density fluctuations are shown to obey simple fitting…

宇宙学与河外天体物理 · 物理学 2011-03-22 Sirichai Chongchitnan , Joseph Silk

The one-point probability distribution function (pdf) of the large-scale density field is an important tool to follow the evolution of cosmological structures. In this paper we present a new model for this pdf for all regimes and all…

天体物理学 · 物理学 2009-11-10 Patrick Valageas , Dipak Munshi

Random fields in nature often have, to a good approximation, Gaussian characteristics. For such fields, the relative densities of umbilical points -- topological defects which can be classified into three types -- have certain fixed values.…

统计力学 · 物理学 2013-08-09 A. M. Turner , T. H. Beuman , V. Vitelli

We present results from the first high-resolution hydrodynamical simulations of non-Gaussian cosmological models. We focus on the statistical properties of the transmitted Lyman-alpha flux in the high redshift intergalactic medium. Imprints…

天体物理学 · 物理学 2010-03-26 M. Viel , E. Branchini , K. Dolag , M. Grossi , S. Matarrese , L. Moscardini

We investigate the evolution of the skewness of the distribution of density fluctuations in CDM models with both Gaussian and non--Gaussian initial fluctuations. We show that the method proposed by Coles \& Frenk (1991), which uses the…

天体物理学 · 物理学 2015-06-24 P. Coles , L. Moscardini , F. Lucchin , S. Matarrese , A. Messina

When the equations that govern the dynamics of a random field are nonlinear, the field can develop with time non-Gaussian statistics even if its initial condition is Gaussian. Here, we provide a general framework for calculating the effect…

统计力学 · 物理学 2013-03-14 T. H. Beuman , A. M. Turner , V. Vitelli

Non-Gaussianity of the cosmological matter density field can be largely reduced by a local Gaussianization transformation (and its approximations such as the logrithmic transformation). Such behavior can be recasted as the Gaussian copula…

宇宙学与河外天体物理 · 物理学 2020-07-15 Jian Qin , Yu Yu , Pengjie Zhang

We compute the probability density distribution of maxima for a scalar random field in the presence of local non-gaussianities. The physics outcome of this analysis is the following. If we focus on maxima whose curvature is larger than a…

宇宙学与河外天体物理 · 物理学 2021-09-08 Flavio Riccardi , Marco Taoso , Alfredo Urbano

We study the behavior of n-point functions of the primordial curvature perturbations, assuming our observed Universe is only a subset of a larger space with statistically homogeneous and isotropic perturbations. If the larger space has…

宇宙学与河外天体物理 · 物理学 2013-07-25 Elliot Nelson , Sarah Shandera

q-Gaussian distribution appear in many science areas where we can find systems that could be described within a nonextensive framework. Usually, a way to assert that these systems belongs to nonextensive framework is by means of numerical…

数据分析、统计与概率 · 物理学 2017-03-21 Wagner S. de Lima , Emerson L. de Santa Helena

We calculate the cosmological evolution of the 1-point probability distribution function (PDF), using an analytic approximation that combines gravitational perturbation theory with the Edgeworth expansion of the PDF. Our method applies…

天体物理学 · 物理学 2009-10-22 R. Juszkiewicz , D. Weinberg , P. Amsterdamski , M. Chodorowski , F. Bouchet

Perturbation Theory (PT) applied to a cosmological density field with Gaussian initial fluctuations suggests a specific hierarchy for the correlation functions when the variance is small. In particular quantitative predictions have been…

天体物理学 · 物理学 2009-10-30 D. Munshi , F. Bernardeau , A. L. Melott , R. Schaeffer