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arXiv · 1207.3569

A horospherical ratio ergodic theorem for actions of free groups

Lewis Bowen·Amos Nevo
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Abstract

We prove a ratio ergodic theorem for amenable equivalence relations satisfying a strong form of the Besicovich covering property. We then use this result to study general non-singular actions of non-abelian free groups and establish a ratio ergodic theorem for averages along horospheres.

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Lewis Bowen, Amos Nevo. 2012-07-16. A horospherical ratio ergodic theorem for actions of free groups. https://arxiv.org/abs/1207.3569

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