ASPECTS OF RECURRENCE AND TRANSIENCE FOR LÉVY PROCESSES IN TRANSFORMATION GROUPS AND NONCOMPACT RIEMANNIAN SYMMETRIC PAIRS

DOI10.1017/S1446788713000062zbMath1277.60011arXiv1103.4004WikidataQ115335491 ScholiaQ115335491MaRDI QIDQ2861583

David Applebaum

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1103.4004

zbMATH Keywords

Lie groupsrecurrencetransienceLévy processconvolution semigrouptransformation groupspherical functionpotential measureGangolli's Lévy-Khintchine formulaharmonic transiencetransient Dirichlet space

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (5)

The positive maximum principle on symmetric spaces ⋮ Sub-Feller semigroups generated by pseudodifferential operators on symmetric spaces of noncompact type ⋮ Long time behavior of jump-diffusion processes on Riemannian manifolds ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups ⋮ A generalised Gangolli-Lévy-Khintchine formula for infinitely divisible measures and Lévy processes on semi-simple Lie groups and symmetric spaces

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