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A Large Deviation Principle at play in Large-Scale Structure cosmology
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A Large Deviation Principle at play in Large-Scale Structure cosmology
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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.
Forward citations
Cited by 2 Pith papers
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Hermes - Towards an Optimal High-Performance Algorithm for Cosmic Statistics of Large Data Sets
Hermes/PyHermes reconstructs catalogues in a scaling-function basis and unifies CIC, 2PCF, 3PCF, marked, and operator-based cosmic statistics as reusable window operations with FFT/MPI/GPU scaling.
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Large deviations for halos and voids: beyond perturbative non-gaussianities
Excursion-set halo and void abundances are derived for exponential-tailed non-Gaussian fluctuations, giving new first-passage-time formulas and a void-size-function series.
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