Publication : t15/235

A Large Deviation Principle at play in Large-Scale Structure cosmology

Bernardeau F. ()
Flose-Reimberg P. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
We present an application of Large Deviation Theory to the problem of structure growth on large-scale structure cosmology. Starting from gaussian distributed overdensities on concentric spherical shells, we show that a Large Deviation Principle holds for the densities on the corresponding shells after gravitational evolution if no shell-crossing happens. As consequences of the Large Deviation Principle we obtain the cumulant generating function for the non-linear densities, and present formulae to compute the cumulant generating function for general window functions.
Année de publication : 2016
Preprint : arXiv:1511.08641
Langue : Anglais

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