Existence of positive harmonic functions on groups and on covering manifolds

zbMath0833.22006MaRDI QIDQ1347277

Philippe Bougerol, Laure Elie

Publication date: 4 April 1995

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1995__31_1_59_0

zbMATH Keywords

random walksbounded harmonic functionsRiemannian manifoldsprobability measurecompact manifoldlocally compact groupsregular coveringpositive harmonic functionsLaplace- Beltrami operatorco-compact Riemannian coveringdeck transformation group

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) General properties and structure of locally compact groups (22D05) Boundary theory for Markov processes (60J50) Potential theory on Riemannian manifolds and other spaces (31C12)

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