The Poisson boundary of \(\mathrm{Out}(F_N)\)

DOI10.1215/00127094-3166308zbMath1401.20043arXiv1405.7938OpenAlexW3124067910MaRDI QIDQ254768

Camille Horbez

Publication date: 16 March 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7938

zbMATH Keywords

random walksPoisson boundary\(\operatorname{Out}(F_{N})\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Boundary theory for Markov processes (60J50) Groups acting on trees (20E08) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (9)

Shannon's theorem for locally compact groups ⋮ The topology and geometry of automorphism groups of free groups ⋮ Random trees in the boundary of outer space ⋮ Random walks on mapping class groups ⋮ Stationary \(C^\ast \)-dynamical systems (with an appendix by Uri Bader, Yair Hartman, and Mehrdad Kalantar) ⋮ Poisson representation and Furstenberg entropy of hypergroups ⋮ An intersection functional on the space of subset currents on a free group ⋮ Contracting orbits in Outer space ⋮ Random walks of infinite moment on free semigroups

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