Typical behaviour along geodesic rays in hyperbolic groups

Stephen Cantrell

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arXiv · 1906.00469

Typical behaviour along geodesic rays in hyperbolic groups

Stephen Cantrell

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Abstract

In this note we study the limiting behaviour of real valued functions on hyperbolic groups as we travel along typical geodesic rays in the Gromov boundary of the group. Our results apply to group homomorphisms, certain quasimorphisms and to the displacement functions associated to convex cocompact group actions on CAT$(-1)$ metric spaces.

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BibTeX RIS

Stephen Cantrell. 2019-06-02. Typical behaviour along geodesic rays in hyperbolic groups. https://arxiv.org/abs/1906.00469

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