Continuity of critical exponent of quasiconvex-cocompact groups under Gromov-Hausdorff convergence

被引：5

作者：

Cavallucci, Nicola ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2023年 / 43卷 / 04期

关键词：

Gromov hyperbolicity; Gromov-Hausdorff convergence; entropy; continuity; convex-cocompact;

D O I：

10.1017/etds.2022.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show continuity under equivariant Gromov-Hausdorff convergence of the critical exponent of discrete, non-elementary, torsion-free, quasiconvex-cocompact groups with uniformly bounded codiameter acting on uniformly Gromov-hyperbolic metric spaces.

引用

页码：1189 / 1221

页数：33

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