How to (badly) quantum shuffle cards

Amaury Freslon (Université Paris-Saclay, France)

15-Feb-2021, 15:00-16:00 (3 years ago)

Abstract: Card shuffles can be thought of as random walks on the symmetric group, and the study of these random walks has been a subject of interest to probabilists for more than forty years. Even for one of the simplest examples, the random transposition walk, precise results concerning the convergence to equilibrium were only very recently obtained. After briefly describing that setting, I will report on a joint work with L. Teyssier and S. Wang where we study an analogue of the random transposition walk on the quantum symmetric group, therefore a kind of "quantum card shuffle". In particular, we obtain a similar asymptotic description of the convergence to equilibrium, called the "limit profile", involving the free Poisson distribution while the classical case involved the usual Poisson distribution.

operator algebrasquantum algebra

Audience: researchers in the topic


Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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Organizers: Rubén Martos, Frank Taipe*, Makoto Yamashita
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