On random walks on the mapping class group
Abstract
Abstract We define an electrification of the curve graph of a surface of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of with some logarithmic moment condition as a stationary measure on the space of minimal and maximal geodesic laminations on , equipped with the Hausdorff topology.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
advanced mathematical theories
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 6
- Publication date
- 29 May 2026
- Language
- EN