Positive harmonic functions on the Heisenberg group. II

DOI10.5802/jep.163zbMath1472.31012arXiv1907.05041OpenAlexW4287997010MaRDI QIDQ2028052

Yves Benoist

Publication date: 31 May 2021

Published in: Journal de l'École Polytechnique -- Mathématiques, European Congress of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05041

zbMATH Keywords

nilpotent groupMartin boundaryharmonic functionnilpotent groupsrandom walkharmonic functions on the Heisenberg groupsouthwest measure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Nilpotent groups (20F18) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Arboreal structures on groups and the associated boundaries ⋮ Positive harmonic functions on the Heisenberg group. II

Cites Work

• A Wiener lemma for the discrete Heisenberg group
• Martin boundary of random walks with unbounded jumps in hyperbolic groups
• Some asymptotic formulas for lattice paths
• Positive harmonic functions on the Heisenberg group. II
• Local limit theorems and equidistribution of random walks on the Heisenberg group
• A survey of algebraic actions of the discrete Heisenberg group
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• Random Walks on Infinite Graphs and Groups
• Random walk on unipotent matrix groups
• Counting Partitions inside a Rectangle
• Equidistribution of dense subgroups on nilpotent Lie groups
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