Séminaire Analyse-Proba (Laure Marêché, mardi 24 mars 2026)

Le prochain séminaire Analyse-Proba aura lieu mardi 24 mars à 10h30 en A711. Laure Marêché (Université de Strasbourg) nous parlera de :

A general limit theorem for self-interacting random walks

Abstract
In this talk, we will present self-interacting random walks, a class of non-Markovian random walks, such that the probability the walk goes to a given location is smaller if, in the past, it has often crossed the edge between its current position and the target. Tóth introduced these processes in the 90s, and investigated limit theorems for their trajectory. However, he could not prove such results, and even nowadays only a few cases are proven. We will present a general limit theorem potentially applicable to all cases, and use it to prove one of the major remaining cases.