The local limit theorem on nilpotent Lie groups

DOI10.1007/s00440-018-0864-7zbMath1481.60050arXiv1801.02530OpenAlexW2963105735WikidataQ115388008 ScholiaQ115388008MaRDI QIDQ2312680

Robert D. Hough

Publication date: 17 July 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02530

zbMATH Keywords

nilpotent grouplocal limit theoremrandom walk on a group

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Nilpotent and solvable Lie groups (22E25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) (L^p)-limit theorems (60F25)

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Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I

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