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

Abstract

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.

arXiv commentv3: correction of some errors on the algebraic convergence. arXiv admin note: text overlap with arXiv:2102.07502