The cut-off phenomenon for random reflections. II: Complex and quaternionic cases

DOI10.1007/BF01247837zbMath0865.60005MaRDI QIDQ1908544

Ursula Porod

Publication date: 7 July 1997

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

cut-off phenomenonspeed of convergencerandom reflections problem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (8)

The cut-off phenomenon for random reflections ⋮ Concentration of Haar measures, with an application to random matrices ⋮ Quantum reflections, random walks and cut-off ⋮ Kazhdan constants for conjugacy classes of compact groups. ⋮ The cut-off phenomenon for Brownian motions on compact symmetric spaces ⋮ Orbit measures, random matrix theory and interlaced determinantal processes ⋮ Interlaced processes on the circle ⋮ Asymptotics of Heat Kernels on Projective Spaces of Large Dimensions and on Disk Hypergroups

Cites Work

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• Strong uniform times and finite random walks
• Random rotations: Characters and random walks on \(SO(N)\)
• Precise estimates on the rate at which certain diffusions tend to equilibrium
• \(L_ 2\)-lower bounds for a special class of random walks
• The cut-off phenomenon for random reflections

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