Journal ArticleDOI
The Effect of Non-Gaussian Statistics on the Mass Multiplicity of Cosmic Structures
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TLDR
The mass function of cosmic structures is computed in the framework of the hierarchical clustering picture for a general statistics of density perturbations as discussed by the authors, and the effect of a statistical bias on the origin of condensations is also discussed.Abstract:
The mass function of cosmic structures is computed in the framework of the hierarchical clustering picture for a general statistics of density perturbations. Hierarchical distributions are extensively analyzed; it is found that the multiplicity function preserves the Press-Schechter functional form with enhanced power on large scales compared to the Gaussian case. A class of scale-invariant non-Gaussian statistics, among which are a model due to Peebles and the lognormal distribution, are also analyzed. All these predict a mass function which is a decreasing power law at low mass followed by an exponential decay at high mass; none of them, however, yields a mass function of the Press-Schechter type. The effect of a statistical bias on the origin of condensations is also discussed. The comparison of these theoretical formulae with the observed mass multiplicity of galaxies, groups, and clusters may represent a powerful tool to test the statistics of cosmological perturbations. 78 references.read more
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Journal ArticleDOI
Non-Gaussianity from inflation: theory and observations
TL;DR: A review of models of inflation and their predictions for the primordial non-Gaussianity in the density perturbations which are thought to be at the origin of structures in the Universe is given in this article.
Journal ArticleDOI
Imprints of primordial non-Gaussianities on large-scale structure: Scale-dependent bias and abundance of virialized objects
TL;DR: In this paper, the effect of primordial non-Gaussianity on large-scale structure, focusing upon the most massive virialized objects, was studied and a simple fitting function for the mass function valid across the entire range of their simulations was proposed.
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First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Tests of Gaussianity
Eiichiro Komatsu,Alan J. Kogut,M. R. Nolta,Charles L. Bennett,Mark Halpern,Gary Hinshaw,N. Jarosik,Michele Limon,Michele Limon,S. S. Meyer,Lyman A. Page,David N. Spergel,Gregory S. Tucker,Gregory S. Tucker,Gregory S. Tucker,Licia Verde,Edward J. Wollack,Edward L. Wright +17 more
TL;DR: In this article, the amplitude of non-Gaussian primordial fluctuations in the WMAP 1 yr cosmic microwave background sky maps has been investigated and limits on the amplitude are established, -58 < fNL < 134 at 95% confidence.
Journal ArticleDOI
Large-scale galaxy bias
TL;DR: In this paper, the authors present a comprehensive overview of galaxy bias, that is, the statistical relation between the distribution of galaxies and matter, which forms the basis of the rigorous perturbative description of galaxy clustering, under the assumptions of General Relativity and Gaussian, adiabatic initial conditions.