Comportement asymptotique du noyau potentiel sur les groupes de Lie

DOI10.24033/asens.1428zbMath0509.60070OpenAlexW97807870MaRDI QIDQ4747337

Laure Elie

Publication date: 1982

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1982_4_15_2_257_0

zbMATH Keywords

potentialcompact groupstransient random walkalmost connected locallyamanable groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Probabilistic potential theory (60J45) Analysis on other specific Lie groups (43A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

• Sur la théorie du renouvellement pour les groupes non abeliens
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• Random walk on countably infinite Abelian groups
• Potential theory of random wlaks on Abelian groups
• A Poisson formula for semi-simple Lie groups
• Poisson spaces of locally compact groups
• On some types of topological groups
• [https://portal.mardi4nfdi.de/wiki/Publication:3870051 Sur une propri�t� de compacit� du noyau potentiel associ� � une probabilit� sur un groupe]
• Capacité et théorie du renouvellement. I
• Théorème central limite local sur certains groupes de Lie
• Homogeneous Manifolds with Negative Curvature. I
• Croissance polynomiale et périodes des fonctions harmoniques
• [https://portal.mardi4nfdi.de/wiki/Publication:4768409 Marches al�atoires sur le groupe des d�placements de ? d]
• [https://portal.mardi4nfdi.de/wiki/Publication:4775260 Marches al�atoires sur un groupe nilpotent]
• Splitting in topological groups
• Translation-invariant cones of functions on semi-simple lie groups
• A simple proof for renewal theorems
• A renewal theorem
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