Upper Tail Large Deviation and Its Application to Maximal Edge-Traversal Time in First-Passage Percolation

par Shuta Nakajima (Meiji University)

vendredi 15 mars 2024, 14:00 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Probability and analysis informal seminar

In this talk, we will consider the maximal edge-traversal time in First-passage percolation. This is the maximum value that optimal paths can take when traversing random weighted graphs. We will discuss our use of upper tail large deviation and the resampling argument as primary analytical tools. These methods have enabled us to determine the leading-order asymptotic of the maximal edge-traversal time for several Weibull distributions. This talk is based on two works: one with Clément Cosco and the other with Ryoki Fukushima.

========

Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_mathematique PRENOM NOM"
(indiquez vos propres prénom et nom) et laissez le corps du message vide.