The Dirichlet random walk

DOI10.5802/ahl.152zbMath1530.58019arXiv2003.08187OpenAlexW4309890088MaRDI QIDQ6159735

Olivier Glorieux, A. Boulanger

Publication date: 20 June 2023

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08187

zbMATH Keywords

hyperbolic groupsgrowth ratecentral limit theoremnonamenable groupsdeck groupDirichlet random walkpiecewise geodesics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Group actions and symmetry properties (58D19) Diffusion processes and stochastic analysis on manifolds (58J65) Hyperbolic groups and nonpositively curved groups (20F67) Transition functions, generators and resolvents (60J35)

Cites Work

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• Ergodic theory and dynamical systems. Translated from the French by Reinie Erné
• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• The Dirichlet problem at infinity for a negatively curved manifold
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• Central limit theorem in negative curvature
• Isometric Riemannian manifolds at infinity
• Central limit theorems for Gromov hyperbolic groups
• Deviation inequalities for random walks
• Nonlocal perimeter, curvature and minimal surfaces for measurable sets
• Central limit theorem on hyperbolic groups
• Full Banach Mean Values on Countable groups.
• A note on the isoperimetric constant
• The Lipschitz continuity of the distance function to the cut locus
• Regularity Theory for Local and Nonlocal Minimal Surfaces: An Overview

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