Patterson-Sullivan theory for groups with a strongly contracting element
Group Theory
2024-01-09 v6 Dynamical Systems
Metric Geometry
Abstract
Using Patterson-Sullivan measures we investigate growth problems for groups acting on a metric space with a strongly contracting element.
Cite
@article{arxiv.2206.07361,
title = {Patterson-Sullivan theory for groups with a strongly contracting element},
author = {Rémi Coulon},
journal= {arXiv preprint arXiv:2206.07361},
year = {2024}
}
Comments
61 pages, 2 figures. Slightly different definition of contracting tails. Corrected a mistake in Corollary 4.27. The new statement only covers normal subgroups