Modul:   MAT760  Ergodic theory and dynamical systems seminar

Limit theorems on nilpotent Lie groups

Vortrag von Timothée Bénard

Datum: 13.03.23  Zeit: 13.30 - 14.30  Raum: ETH HG G 43

I will talk about my recent work with E. Breuillard establishing limit theorems for random walks on nilpotent Lie groups. Most previous works assumed the law of increment to be centered in the abelianization of the group. Our major contribution is to allow the law of increment to be non-centered. In this case, new phenomena appear: the large scale geometry of the walk depends on the increment average, and the limiting measure in the central limit theorem may not have full support in the group.