Hyperbolic groupoids: metric and measure
Dynamical Systems
2012-11-19 v2
Abstract
We construct Patterson-Sullivan measure and a natural metric on the unit space of a hyperbolic groupoid. In particular, this gives a new approach to defining SRB measures on Smale spaces using Gromov hyperbolic graphs.
Keywords
Cite
@article{arxiv.1109.4338,
title = {Hyperbolic groupoids: metric and measure},
author = {Volodymyr Nekrashevych},
journal= {arXiv preprint arXiv:1109.4338},
year = {2012}
}
Comments
36 pages