Linear progress with exponential decay in weakly hyperbolic groups

DOI10.4171/GGD/554zbMath1464.60040arXiv1710.05107OpenAlexW3037075331WikidataQ115481615 ScholiaQ115481615MaRDI QIDQ784894

Matthew H. Sunderland

Publication date: 3 August 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05107

zbMATH Keywords

random walkshyperbolic groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

Exponential bounds for random walks on hyperbolic spaces without moment conditions ⋮ Effective drift estimates for random walks on graph products ⋮ Large deviations for random walks on Gromov-hyperbolic spaces ⋮ Cusp excursion in hyperbolic manifolds and singularity of harmonic measure ⋮ Entropy and drift for Gibbs measures on geometrically finite manifolds ⋮ Statistical limit laws for hyperbolic groups

Cites Work

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• Random walks on weakly hyperbolic groups
• Sublinear deviation between geodesics and sample paths
• Random methods in 3-manifold theory
• Acylindrically hyperbolic groups
• Exponential decay in the mapping class group
• The free splitting complex of a free group, II: Loxodromic outer automorphisms
• The Poisson formula for groups with hyperbolic properties

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