Statistics and compression of scl

DOI10.1017/etds.2013.43zbMath1351.37214arXiv1008.4952OpenAlexW3106499206MaRDI QIDQ5175075

Joseph Maher, Danny Calegari

Publication date: 19 February 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4952

zbMATH Keywords

random walkshyperbolic groupsrandom (geodesic) words

Mathematics Subject Classification ID

Combinatorics on words (68R15) Generation, random and stochastic difference and differential equations (37H10) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Commutator calculus (20F12) Probabilistic methods in group theory (20P05)

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Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds, Stable random fields, Patterson-Sullivan measures and extremal cocycle growth, Random rigidity in the free group., Contracting elements and random walks, Random walks on weakly hyperbolic groups, First passage percolation on hyperbolic groups, Deviation inequalities for random walks, A train track directed random walk on Out(F_r), Dynamics on free-by-cyclic groups, Counting problems in graph products and relatively hyperbolic groups, Biharmonic functions on groups and limit theorems for quasimorphisms along random walks, Taking the high-edge route of rank-3 outer space, Random walks on mapping class groups, The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces.With the appendix by Khalid Bou–Rabee, Quasimorphisms, random walks, and transient subsets in countable groups, Tracking rates of random walks, Equations in simple Lie algebras, Immersed surfaces in the modular orbifold, Random walks of infinite moment on free semigroups, Random Subgroups of Acylindrically Hyperbolic Groups and Hyperbolic Embeddings, Random outer automorphisms of free groups: Attracting trees and their singularity structures, The Poisson boundary of \(\mathrm{Out}(F_N)\)

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