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

Abstract

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.

5 pages, 2 figures

References in corpus (2)

• The large deviation approach to statistical mechanics
• Back in the saddle: Large-deviation statistics of the cosmic log-density field

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