Random walks on nilpotent groups driven by measures supported on powers of generators

DOI10.4171/GGD/335zbMath1364.20018arXiv1211.3003MaRDI QIDQ902292

Tianyi Zheng, Laurent Saloff-Coste

Publication date: 8 January 2016

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

Full work available at URL: https://arxiv.org/abs/1211.3003

zbMATH Keywords

stable lawsnilpotent groupsrandom walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14) Boundary theory for Markov processes (60J50)

Related Items (3)

Random walks on finite nilpotent groups driven by long-jump measures ⋮ Long range random walks and associated geometries on groups of polynomial growth ⋮ Nonlocal operators with singular anisotropic kernels

Cites Work

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• Approximate local limit theorems for laws outside domains of attraction
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
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• Ultracontractivity and Nash type inequalities
• Random walks on groups and discrete subordination
• Heat kernel upper bounds for jump processes and the first exit time
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

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