Large Deviation Estimates for the Capacity of the Range of a Random Walk in dimension larger than 4.

schedule le mardi 28 novembre 2017 de 16h30 à 18h00

Organisé par : Bastien Fernandez, Nicolas Fournier, Sandrine Péché

Intervenant : A. Asselah (LAMA, Créteil)
Lieu : Salle 0011, Sophie Germain (Université Paris Diderot)

Sujet : Large Deviation Estimates for the Capacity of the Range of a Random Walk in dimension larger than 4

Résumé :

We focus on the ways a simple random walk reduces the capacity of its range,  when dimension is larger than 4. We show that localization happens in a much larger region than the Swiss Cheese picture. We'll discuss our method, its strengh and weakness. This is a work in progress with Bruno Schapira and Perla Sousi.