Th�or�me de la limite centrale sur les groupes nilpotents

DOI10.1007/BF00668457zbMath0394.60009MaRDI QIDQ4176727

Albert Raugi

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

Central Limit TheoremCampbell-Hausdorff-FormulaLie-Groups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Probabilistic potential theory (60J45) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (9)

Random walks on discrete groups of polynomial volume growth ⋮ \({\mathcal D}\)-domains of attraction of stable measures on stratified Lie groups ⋮ The accuracy of Gaussian approximations in nilpotent Lie groups ⋮ Random mappings of scaled graphs. ⋮ Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I ⋮ Rate of convergence in CLT on stratified groups ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II ⋮ Diffusion approximations for random walks on nilpotent Lie groups

Cites Work

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• Extensions of Trotter's operator semigroup approximation theorems
• Croissance polynomiale et périodes des fonctions harmoniques
• A classification of the second order degenerate elliptic operators and its probabilistic characterization
• Central Limit Theorem for Semisimple Lie Groups

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