Poisson boundary of groups acting on real trees

Details Poisson boundary of groups acting on real trees Poisson boundary of groups acting on real trees

2009-11-03

arxiv.org/abs/0911.0616v3

Mathematics

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42 pages. This is a majorly revised version. The introduction is completely rewritten, the statements are simplified. A new se

Scientific paper

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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