On random walks on the mapping class group
arXiv:2507.09625
Abstract
We define an electrification of the curve graph of a surface S of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of S with some logarithmic moment condition as a stationary measure on the space of minimal and maximal geodesic laminations on , equipped with the Hausdorff topology.
15 pages