Brownian Motion and Harmonic Functions on Sol(p,q)†

DOI10.1093/imrn/rnr232zbMath1263.58011arXiv1105.4430OpenAlexW3105732763MaRDI QIDQ3143931

Sara Brofferio, Maura Salvatori, Wolfgang Woess

Publication date: 6 December 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4430

zbMATH Keywords

Brownian motionLie groupcentral limit theoremLaplacianhyperbolic planerate of escapeboundaryhorocyclic productpositive harmonic function

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Boundary theory for Markov processes (60J50) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (6)

Brownian motion on treebolic space: escape to infinity ⋮ Discrete random walks on the group Sol ⋮ Brownian motion on treebolic space: positive harmonic functions ⋮ Brownian motion on stationary random manifolds ⋮ Free minimal actions of solvable Lie groups which are not affable ⋮ Unimodular measures on the space of all Riemannian manifolds

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