English

Random walks in negative curvature and boundary representations

Dynamical Systems 2020-01-14 v1 Group Theory Representation Theory

Abstract

In this paper we establish a version of the Margulis Roblin equidistribution theorem's for harmonic measures. As a consequence a von Neumann type theorem is obtained for boundary actions and the irreducibility of the associated quasi-regular representations is deduced.

Keywords

Cite

@article{arxiv.2001.03932,
  title  = {Random walks in negative curvature and boundary representations},
  author = {Kevin Boucher},
  journal= {arXiv preprint arXiv:2001.03932},
  year   = {2020}
}
R2 v1 2026-06-23T13:08:59.410Z