Random Walks on Finite Quantum Groups
Journal of Theoretical Probability(2019)
Abstract
In this paper, we study convergence of random walks, on finite quantum groups, arising from linear combination of irreducible characters. We bound the distance to the Haar state and determine the asymptotic behavior, i.e., the limit state if it exists. We note that the possible limits are any central idempotent state. We also look at cutoff phenomenon in the Sekine finite quantum groups.
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Key words
Convergence of random walks,Finite quantum group,Sekine quantum groups,Central idempotent state,Representation theory
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