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UID:20250715T202931EDT-5716SuwZtc@132.216.98.100
DTSTAMP:20250716T002931Z
DESCRIPTION:Title: Reflected Brownian motion in a wedge: from probability t
 heory to Galois theory of difference equations\n\nAbstract: We consider a 
 reflected Brownian motion in a two-dimensional wedge. Under standard assum
 ptions on the parameters of the model (opening of the wedge\, angles of th
 e reflections on the axes\, drift)\, we study the algebraic and differenti
 al nature of the Laplace transform of its stationary distribution. We deri
 ve necessary and sufficient conditions for this Laplace transform to be ra
 tional\, algebraic\, differentially finite or more generally differentiall
 y algebraic. These conditions are explicit linear dependencies among the a
 ngles involved in the definition of the model.\n\nTo prove these results\,
  we start from a functional equation that the Laplace transform satisfies\
 , to which we apply tools from diverse horizons. To establish differential
  algebraicity\, a key ingredient is Tutte's invariant approach\, which ori
 ginates in enumerative combinatorics. To establish differential transcende
 nce\, we turn the functional equation into a difference equation and apply
  Galoisian results on the nature of the solutions to such equations.\n\nTh
 is is a joint work with M. Bousquet-Mélou\, A. Elvey Price\, S. Franceschi
  and C. Hardouin (https://arxiv.org/abs/2101.01562).\n\n \n\nLink: Registe
 r Here\, link will be shared with reminder email:\n\nhttp://crm.umontreal.
 ca/colloque-sciences-mathematiques-quebec/351\n
DTSTART:20210416T190000Z
DTEND:20210416T200000Z
SUMMARY:Kilian Raschel (Université de Tours)
URL:/mathstat/channels/event/kilian-raschel-universite
 -de-tours-330319
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