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SUMMARY:Large deviations for Hamiltonian systems: integrability vs resonan
 ces
DTSTART:20250522T120000Z
DTEND:20250522T130000Z
DTSTAMP:20260423T145300Z
UID:indico-event-14400@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ricardo Grande (SISSA\, Trieste\, Italie)\n\nWe stud
 y the formation of extreme waves from a statistical viewpoint in the conte
 xt of various Hamiltonian systems. Firstly\, we derive an asymptotic devel
 opment for the probability of appearance of extreme waves as the amplitude
  of the wave tends to infinity. Secondly\, we analyze the most likely mech
 anism 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
  typically the result of a linear superposition mechanism. In the case of 
 a highly resonant system\, however\, we prove that a nonlinear focusing me
 chanism is most likely. This nonlinear mechanism is then proved to increas
 e the likelihood of appearance of extreme waves\, as has often been conjec
 tured in the physics literature. \n\nhttps://indico.math.cnrs.fr/event/144
 00/
LOCATION:Salle de Séminaires (Orléans)
URL:https://indico.math.cnrs.fr/event/14400/
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