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

Francis Bernardeau (1) , Paulo Reimberg (2)

1 IAP - Institut d'Astrophysique de Paris
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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

Domains: Physics [physics]; Astrophysics [astro-ph]

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