Boundary entropy of a hyperbolic group

1998/12/09 by A. Bis, Andrzej Biś, Bis, A. +3
Computer Science · Mathematics · #20 F 32 #53 C 22 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.DG #msc:20 #msc:22 #msc:32 #msc:53

paper · pdf · doi:10.48550/arxiv.math/9812055

9 pages, 2 figures

arxiv created 1998/12/09 · openalex publication_date 1998/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the entropy of a hyperbolic group acting on its ideal boundary is closely related to the exponential rate of its growth.

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