English

Patterson-Sullivan measures for relatively Anosov groups

Dynamical Systems 2025-04-01 v4 Group Theory

Abstract

We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relatively Anosov groups. As applications we obtain an entropy gap theorem and a strict concavity result for entropies associated to linear functionals.

Keywords

Cite

@article{arxiv.2308.04023,
  title  = {Patterson-Sullivan measures for relatively Anosov groups},
  author = {Richard Canary and Andrew Zimmer and Tengren Zhang},
  journal= {arXiv preprint arXiv:2308.04023},
  year   = {2025}
}

Comments

41 pages, minor corrections

R2 v1 2026-06-28T11:50:32.100Z