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We consider an analogue of the Kac random walk on the special orthogonal group $SO(N)$, in which at each step a random rotation is performed in a randomly chosen 2-plane of $\bR^N$.
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M. Kac · 1956
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Linear representations of finite groups
Jean-Pierre Serre · 1977
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Edwin Hewitt and Kenneth A. Ross · 1979
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Generating a random permutation with random transpositions
Persi Diaconis and Mehrdad Shahshahani · 1981
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Random walks on finite groups and rapidly mixing Markov chains
D.J. Aldous · 1983
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Group representations in probability and statistics
Persi Diaconis · 1988
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Representation theory
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E. A. Carlen, M. C. Carvalho, and M. Loss · 2003
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David K. Maslen · 2003
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Transport inequalities, gradient estimates, entropy, and Ricci curvature
Max-K. von Renesse and Karl-Theodor Sturm · 2005
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The cut-off phenomenon for finite Markov Chains: PhD thesis
G.-Y. Chen · 2006
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On the convergence to equilibrium of Kac’s random walk on matrices
Roberto Imbuzeiro Oliveira · 2009
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Total variation mixing time of Kac’s master walk
Yunjiang Jiang · 2012
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The random k k -cycle walk on the symmetric groups
Bob Hough
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