Central limit theorems for hyperbolic spaces and Jacobi processes on \([0,\infty [\)

DOI10.1007/s00605-012-0460-3zbMath1276.60028arXiv1201.3490OpenAlexW2018946135MaRDI QIDQ1942323

Michael Voit

Publication date: 18 March 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3490

zbMATH Keywords

spherical functionshyperbolic spacescentral limit theoremsasymptotic resultsradial random walksRayleigh distributionsLaplace integralnormal limitslimits of Jacobi functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Harmonic analysis and spherical functions (43A90) Remainders in approximation formulas (41A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Central limit theorems for random walks associated with hypergeometric functions of type BC ⋮ Dispersion and limit theorems for random walks associated with hypergeometric functions of type \(BC\) ⋮ Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC}

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