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SUMMARY:Large deviations for Hamiltonian systems: integrability vs resonan
 ces
DTSTART:20250520T120000Z
DTEND:20250520T130000Z
DTSTAMP:20260423T172400Z
UID:indico-event-14094@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ricardo Grande (SISSA\, Trieste\, Italie)\n\nExposé
  décalé au séminaire de l'idp du jeudi 22 mai\n\nAbstract: We study the
  formation of extreme waves from a statistical viewpoint in the context of
  various Hamiltonian systems. Firstly\, we derive an asymptotic developmen
 t for the probability of appearance of extreme waves as the amplitude of t
 he wave tends to infinity. Secondly\, we analyze the most likely mechanism
  of formation of such waves with the help of two toy models. \nIn the case
  of an integrable Hamiltonian system\, we show that extreme waves are typi
 cally the result of a linear superposition mechanism. In the case of a hig
 hly resonant system\, however\, we prove that a nonlinear focusing mechani
 sm is most likely. This nonlinear mechanism is then proved to increase the
  likelihood of appearance of extreme waves\, as has often been conjectured
  in the physics literature. \n\nhttps://indico.math.cnrs.fr/event/14094/
LOCATION:Salle de séminaire (Orléans institut Denis Poisson)
URL:https://indico.math.cnrs.fr/event/14094/
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