Equidistribution of hyperbolic groups in homogeneous spaces
Dynamical Systems
2022-09-15 v1 Group Theory
Geometric Topology
Abstract
We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure.
Keywords
Cite
@article{arxiv.2209.06776,
title = {Equidistribution of hyperbolic groups in homogeneous spaces},
author = {Ilya Gekhtman and Samuel J. Taylor and Giulio Tiozzo},
journal= {arXiv preprint arXiv:2209.06776},
year = {2022}
}
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18 pages