Seminario di Equazioni Differenziali e Applicazioni: “The random walk penalized by its range”

Lunedì 27 Marzo 2017, ore 14:00 - Aula 2BC30 - Raphael Cerf


Lunedì 27 Marzo 2017 alle ore 14:00 in Aula 2BC30, Raphael Cerf (Université Orsay Paris Sud e ENS Paris) terrà un seminario dal titolo “The random walk penalized by its range”.

We study the asymptotic behavior of the random walk penalized by its range in any dimension d. To get the correct scaling exponent, we use the quantitative Faber-Krahn inequality, which relies on the quantitative isoperimetric inequality. We shall present these inequalities and the heuristics of the proof.
(joint work with Nathanael Berestycki, Cambridge)

Rif. Int. M. Bardi, C. Marchi, C. Mariconda.

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