中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人：Timothée Bénard (University of Cambridge)
题 目：Inverse problem for the harmonic measure
时 间：2023.04.13（星期四）15:30-16:30
地 点：数学院南楼 N913
摘 要：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.