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SUMMARY:Infinite curvature\, quantum random walks\, and Pitman's celebrate
 d 2M-X theorem
DTSTART:20250304T130000Z
DTEND:20250304T140000Z
DTSTAMP:20260522T144600Z
UID:indico-event-13976@indico.math.cnrs.fr
DESCRIPTION:Speakers: Reda Chhaibi\n\nThe classical theorem by Pitman (197
 5) states that a Brownian motion minus twice its running infimum enjoys th
 e Markov property. It has the same law as the norm of a 3-dimensional Brow
 nian motion.\n \nWe start by recalling the long history of this theorem. 
 In particular\, we shall focus on the relationship to mathematical physics
 \, where the theorem and its generalizations bridge random matrix theory a
 nd directed percolation.\nThen we explain how Pitman's Theorem can be unde
 rstood as a curvature interpolation between a flat regime and an infinite 
 curvature regime.\n \nIn fact this story is the semi-classical limit of r
 epresentation theoretic story. In the last section\, we shall mention the 
 relationship to quantum random walks\, and the representation theory of qu
 antum groups.\nBased on joint work with F. Chapon\n\nhttps://indico.math.c
 nrs.fr/event/13976/
URL:https://indico.math.cnrs.fr/event/13976/
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