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

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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.
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cea-01333453 , version 1 (17-06-2016)

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Francis Bernardeau, Paulo Reimberg. A Large Deviation Principle at play in Large-Scale Structure cosmology. 2016. ⟨cea-01333453⟩
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