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SUMMARY:Amaury Freslon (Université Paris-Saclay\, France)
DTSTART:20210215T150000Z
DTEND:20210215T160000Z
DTSTAMP:20260422T180507Z
UID:QGS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/10/">How
  to (badly) quantum shuffle cards</a>\nby Amaury Freslon (Université Pari
 s-Saclay\, France) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\n
 Card shuffles can be thought of as random walks on the symmetric group\, a
 nd the study of these random walks has been a subject of interest to proba
 bilists for more than forty years. Even for one of the simplest examples\,
  the random transposition walk\, precise results concerning the convergenc
 e to equilibrium were only very recently obtained. After briefly describin
 g that setting\, I will report on a joint work with L. Teyssier and S. Wan
 g where we study an analogue of the random transposition walk on the quant
 um symmetric group\, therefore a kind of "quantum card shuffle". In partic
 ular\, we obtain a similar asymptotic description of the convergence to eq
 uilibrium\, called the "limit profile"\, involving the free Poisson distri
 bution while the classical case involved the usual Poisson distribution.\n
LOCATION:https://researchseminars.org/talk/QGS/10/
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