Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups

Pierre-Louis Blayac; Richard Canary; Feng Zhu; Andrew Zimmer

Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups

Dynamical Systems 2024-08-23 v2 Differential Geometry Geometric Topology Metric Geometry

Authors: Pierre-Louis Blayac , Richard Canary , Feng Zhu , Andrew Zimmer

Abstract

We establish counting, mixing and equidistribution results for finite BMS measures on flow spaces associated to geometrically finite convergence group actions. We show that, in particular, these results apply to flow spaces associated to relatively Anosov groups.

Keywords

counting mixing equidistribution GPS systems relatively Anosov groups BMS measures

Cite

@article{arxiv.2404.09718,
  title  = {Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups},
  author = {Pierre-Louis Blayac and Richard Canary and Feng Zhu and Andrew Zimmer},
  journal= {arXiv preprint arXiv:2404.09718},
  year   = {2024}
}

Comments

v2: 56 pages. Substantial changes to extend results to more general Gromov products. Now ready for submission

Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups

Abstract

Keywords

Cite

Comments

Related papers