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SUMMARY:Jean Delhaye (Université Paris-Saclay\, France)
DTSTART:20241118T150000Z
DTEND:20241118T160000Z
DTSTAMP:20260422T175613Z
UID:QGS/122
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/122/">Cu
 toff for the Brownian Motion on the Unitary Quantum Group</a>\nby Jean Del
 haye (Université Paris-Saclay\, France) as part of Quantum Groups Seminar
  [QGS]\n\n\nAbstract\nWe introduce an analog of the Brownian motion on fre
 e unitary quantum groups UN+​. We will discuss the construction of this 
 Brownian motion\, computing its cutoff\, where convergence to equilibrium 
 undergoes a sharp transition. We will also examine the cutoff profile\, an
 alyzing the fine-scale behavior of the total variation distance around the
  cutoff. Unlike classical or orthogonal quantum groups\, the study of UN+
 ​ has additional challenges\, such as non-absolute continuity\, distinct
  properties of its central algebra and inabilities to clearly identify a B
 rownian motion.\n
LOCATION:https://researchseminars.org/talk/QGS/122/
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