The horoboundary of outer space, and growth under random automorphisms

zbMath1398.20052arXiv1407.3608MaRDI QIDQ2958450

Camille Horbez

Publication date: 2 February 2017

Full work available at URL: https://arxiv.org/abs/1407.3608

zbMATH Keywords

growthrandom walksouter spacehoroboundary\(\mathrm{Out}(F_N)\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Asymptotic properties of groups (20F69) Boundary theory for Markov processes (60J50) Groups acting on trees (20E08) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (7)

The topology and geometry of automorphism groups of free groups ⋮ Compactifications of horospheric products ⋮ Subadditive and multiplicative ergodic theorems ⋮ Central limit theorems for mapping class groups and \(\operatorname{Out}(F_N)\) ⋮ Generalized Lyapunov exponents and aspects of the theory of deep learning ⋮ Taking the high-edge route of rank-3 outer space ⋮ Random outer automorphisms of free groups: Attracting trees and their singularity structures

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