Random walks on nilpotent Lie groups (Timothée Bénard, Université Sorbonne Paris Nord)

30.09.2025 10:30

I will present (local) central limit theorems for random walks on nilpotent Lie groups. Most works on the topic assumed the step distribution of the walk to be centered in the abelianization of the group. The main novelty is to authorize non-centered step distributions. In this case, new phenomena emerge: the large-scale geometry of the walk depends on the increment average, and the limit measure in the central limit theorem may not have full support in the ambient group. Joint work with Emmanuel Breuillard.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 30.09.2025, Séminaire "Groupes et géométrie"

entrée libre