English

Fundamental inequality for hyperbolic Coxeter and Fuchsian groups equipped with geometric distances

Probability 2019-11-05 v1 Dynamical Systems Group Theory

Abstract

We prove that the hitting measure is not equivalent to the Lebesgue measure for a large class of nearest-neighbour random walks on hyperbolic reflection groups and Fuchsian groups.

Keywords

Cite

@article{arxiv.1911.00801,
  title  = {Fundamental inequality for hyperbolic Coxeter and Fuchsian groups equipped with geometric distances},
  author = {Petr Kosenko},
  journal= {arXiv preprint arXiv:1911.00801},
  year   = {2019}
}

Comments

14 pages, 2 figures