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

2024/04/15 by Pierre-Louis Blayac, Blayac, Pierre-Louis, Richard D. Canary +5 · 2 citations
Mathematics · #Advanced Topology and Set Theory #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2404.09718

openalex publication_date 2024/04/15 · openalex created_date 2024/04/18 · openalex updated_date 2026/07/28

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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