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SUMMARY:Integration by part formula for the semi group of the kinetic Brow
 nian motion and applications
DTSTART:20260127T085000Z
DTEND:20260127T095000Z
DTSTAMP:20260426T000400Z
UID:indico-event-15239@indico.math.cnrs.fr
DESCRIPTION:Speakers: Magalie Bénéfice (Nancy)\n\nConsider the kinetic B
 rownian motion\, that is\, a one dimensional Brownian motion together with
  its speed in the circle. In this talk I will present a Bismut-type formul
 a for the semi-group of this hypoelliptic process. This result is based on
  the Karhunen Loève expansion of the Brownian motion and the explicit com
 putation of Malliavin dual in Gaussian space.I will also give some applica
 tions for this formula: a reverse Poincarré inequality and Liouville prop
 erty for the generator of the kinetic Brownian motion.This is a joint work
  with Marc Arnaudon\, Michel Bonnefont and Delphine Féral (IMB\, Bordeaux
 ).\n\nhttps://indico.math.cnrs.fr/event/15239/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/15239/
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