English

Groups, drift and harmonic measures

Dynamical Systems 2022-04-19 v1 Probability

Abstract

In this short note we will describe an old problem and a new approach which casts light upon it. The old problem is to understand the nature of harmonic measures for cocompact Fuchsian groups. The new approach is to compute numerically the value of the drift and, in particular, get new results on the dimension of the measure in some new examples.

Cite

@article{arxiv.2204.08197,
  title  = {Groups, drift and harmonic measures},
  author = {Mark Pollicott and Polina Vytnova},
  journal= {arXiv preprint arXiv:2204.08197},
  year   = {2022}
}

Comments

10 pages, 4 figures, 1 table

R2 v1 2026-06-24T10:50:43.282Z