A central limit theorem for isotropic random walks on \(n\)-spheres for \(n\to \infty\)

DOI10.1006/JMAA.1995.1013zbMath0822.60063OpenAlexW2086417243MaRDI QIDQ1842049

Michael Voit

Publication date: 5 October 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1013

zbMATH Keywords

central limit theoremHermite polynomialsisotropic random walkmoment convergence theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups ⋮ Limit theorems for random walks on the double coset spaces \(U(n)//U(n-1)\) for \(n\to \infty\) ⋮ Limit theorems for compact two-point homogeneous spaces of large dimensions

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