Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Timothée Bénard, University of Cambridge
Inviter:	何伟鲲
Title:	Inverse problem for the harmonic measure
Language:	English
Time & Venue:	2023.04.13 15:30-16:30 南楼 N913
Abstract:	Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following inverse problem: how much information on the law of increment of the walk can be deduced from the harmonic measure at infinity? I will explain how one can address this question by studying some winding statistics of a typical geodesic ray on the group chosen randomly by the harmonic measure.