SÉMINAIRE DU GRECO
"Large deviation principle in large scale structure cosmology" |
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P. Reimberg |
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Large Deviations Theory deals with the rate at which probabilities of certain events decay as a natural parameter of the problem varies, and is applied in many different fields. In this talk I will discuss some of the basics of the theory and show that, starting with gaussian distributed overdensities on concentric spherical shells, a Large Deviation Principle holds for the densities at corresponding shells after gravitational evolution if no shell-crossing happens. As a consequence of the Large Deviation Principle the cumulant generating function for the non-linear densities is obtained. I'll also discuss the reconstruction of the corresponding probability density function, and comparison with numerical simulations. |
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lundi 22 février 2016 - 11:00 Salle des séminaires Évry Schatzman, Institut d'Astrophysique de Paris |
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