A central limit theorem on a covering graph with a transformation group of polynomial growth

DOI10.2969/JMSJ/1191419005zbMath1031.60020OpenAlexW2017387905MaRDI QIDQ1411766

Satoshi Ishiwata

Publication date: 15 December 2003

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191419005

zbMATH Keywords

central limit theoremsub-Laplaciancovering graphsnearest neighbor random walksAlbanese metric

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ Large deviation on a covering graph with group of polynomial growth ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I ⋮ Long time asymptotics of non-symmetric random walks on crystal lattices ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II

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