Asymptotics of the first-passage function on free and Fuchsian groups
Abstract
We derive explicit estimates for the asymptotics of the first-passage function for random walks on free groups supported on the powers of standard generators, and use them to prove the singularity of the hitting measure for a similarly defined class of random walks on Fuchsian groups.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Mathematical Dynamics and Fractals
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- The Annals of Probability
- Volume
- 54
- Issue
- 2
- Pages
- 597–609
- Publication date
- 26 February 2026
- Language
- EN