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

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

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arXiv · 2404.09718

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

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

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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.

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Pierre-Louis Blayac, Richard Canary, Feng Zhu, Andrew Zimmer. 2024-04-15. Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups. https://arxiv.org/abs/2404.09718

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