• Corpus ID: 115162893

Poisson boundary of groups acting on real trees

@article{Gautero2009PoissonBO,
  title={Poisson boundary of groups acting on real trees},
  author={Franccois Gautero and Fr'ed'eric Math'eus},
  journal={arXiv: Probability},
  year={2009}
}
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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