A spectral radius formula for the Fourier transform on compact groups and applications to random walks

DOI10.1016/j.aim.2003.11.001zbMath1058.43006OpenAlexW2093477713MaRDI QIDQ1886581

Yanyan Li

Publication date: 18 November 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.11.001

zbMATH Keywords

Fourier transformcompact groupsspectral radius formulalimit theorems for random walks

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Harmonic analysis on general compact groups (43A77) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (5)

The Spectral Radius Formula for Fourier–Stieltjes Algebras ⋮ Almost everywhere convergence of convolution powers on compact Abelian groups ⋮ On mixing and ergodicity in locally compact motion groups ⋮ Equidistribution of random walks on compact groups ⋮ Joint and double coboundaries of commuting contractions

Cites Work

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• Random rotations: Characters and random walks on \(SO(N)\)
• Norm convergence of random walks on compact hypergroups
• Central measures on compact simple Lie groups
• Probabilities on a Compact Group
• Limit Theorems of Probability Theory for Compact Topological Groups
• Generating a random permutation with random transpositions
• The asymmetry of M₀(G)
• A local limit theorem for the convolution of probability measures on a compact connected group
• Rate of Convergence of Convolutions of Random Measures On a Compact Group
• Random walk on spheres
• Speed of convergence of the n-fold convolution of a probability measure on a compact group
• Stable Distributions on a Class of Locally Compact Groups
• Discrepancy convergence for the Drunkard's walk on the sphere

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