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SUMMARY:Critical Trajectories in Kinetic Geometry
DTSTART:20260410T133000Z
DTEND:20260410T150000Z
DTSTAMP:20260409T220100Z
UID:indico-event-16407@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Clément Mouhot (University of Cambridge & IHES)\n\n
 Séminaire d'Analyse\nWe construct critical trajectories in kinetic geome
 try\, i.e. curves in (t\,x\,v) that are tangential to the transport and v-
 gradient\, connecting any two given points\, respecting the underlying kin
 etic scaling\, and matching scaling properties of the stochastic trajecto
 ries near the starting point. The construction is based on solving the law
 s of motions with a forcing made up of desynchronised logarithmic oscillat
 ions. These critical trajectories provide an ''almost exponential map'' th
 at allows to prove several functional analytic estimates. In particular th
 ey allow to extend to the kinetic setting the universal estimate for the l
 ogarithm of positive supersolutions by Moser 1971\, and deduce optimal (we
 ak) Harnack inequalities. This is a joint work with Helge Dietert\, Lukas 
 Niebel and Rico Zacher. \n========\nPour être informé des prochains sé
 minaires vous pouvez vous abonner à la liste de diffusion en écrivant un
  mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_
 mathematique PRENOM NOM"(indiquez vos propres prénom et nom) et laissez l
 e corps du message vide.\n\nhttps://indico.math.cnrs.fr/event/16407/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/16407/
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