Poisson boundary of groups acting on real trees

François Gautero; Frédéric Mathéus

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arXiv · 0911.0616

Poisson boundary of groups acting on real trees

François Gautero·Frédéric Mathéus

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Abstract

We give a geometric description of the Poisson boundaries of certain extensions of free and hyperbolic groups. In particular, we get a full description of the Poisson boundaries of free-by-cyclic groups. We rely upon the description of Poisson boundaries by means of a topological compactification as developed by Kaimanovich. All the groups studied here share the property of admitting a sufficiently complicated action on some real tree.

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BibTeX RIS

François Gautero, Frédéric Mathéus. 2009-11-03. Poisson boundary of groups acting on real trees. https://arxiv.org/abs/0911.0616

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