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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.
Keywords : astro-ph.CO
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https://hal-cea.archives-ouvertes.fr/cea-01333453
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Submitted on : Friday, June 17, 2016 - 3:09:00 PM
Last modification on : Friday, April 24, 2020 - 3:56:03 PM
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1511.08641v1.pdf
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  • HAL Id : cea-01333453, version 1
  • ARXIV : 1511.08641

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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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