On random walks on the mapping class group
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.
Authors
- Ursula Hamenstädt (ORCID: https://orcid.org/0000-0001-5417-1460)
Institutions
- University of Bonn (DE)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-05-29
- DOI
- https://doi.org/10.1112/blms.70406
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00