Abstract: I will present Central Limit Theorems for Birkhoff sums of the billiard map and flow in some unbounded domains. We will consider the case of the periodic Lorentz gas (with finite or infinite horizon) and the case of billiards in dispersing domains with unbounded cusps. The results on the finite horizon periodic Lorentz gas have been proved in collaboration with Damien Thomine. The results on billiards with unbounded cusps are proved in an almost finished work in progress with Marco Lenci and Hong-Kun Zhang.
Central Limit Theorem for billiards in some unbounded domains
23.10.2025 15:15 - 17:30
Organiser:
H. Bruin, R. Zweimüller
Location: