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arXiv · 2405.04905

Shadowing of actions of hyperbolic groups on their boundaries

Abstract

We prove that the canonical action of every hyperbolic group on its Gromov boundary has the shadowing (aka pseudo-orbit tracing) property. In particular, this recovers the results of Mann et al. that such actions are topologically stable.

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Michal Doucha. 2024-05-08. Shadowing of actions of hyperbolic groups on their boundaries. https://arxiv.org/abs/2405.04905

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