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.
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