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DTSTAMP:20260411T034147
DTSTART:20190125T160000
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URL:https://murmitoyen.com/events/vanille/udem/detail/861216-stochastic-dif
 fusive-behavior-at-kirkwood-gaps
LOCATION:Université de Montréal - Pavillon André-Aisenstadt\, 2920\, che
 min de la Tour\, Montréal\, QC\, Canada\, H3T 1N8
SUMMARY:Stochastic diffusive behavior at Kirkwood gaps
DESCRIPTION:Conférence Nirenberg en analyse géométrique
\nConférence de
  Vadim Kaloshin\, titulaire de la chaire Michael Brin en mathématiques de
  l'Université du Maryland. Il a obtenu son doctorat de l'Université de P
 rinceton en 2001 sous la supervision de John Mather. Le professeur Kaloshi
 n a apporté des contributions fondamentales à la théorie des systèmes 
 dynamiques\, notamment à l'étude de la diffusion d'Arnold\, du problème
  à n corps et de la conjecture de Birkhoff pour le billard convexe.
\nRé
 sumé:One of the well-known indications of instability in the Solar system
  is the presence of Kirkwood gaps in the Asteroid belt. The gaps correspon
 d to resonance between their periods and the period of Jupiter. The most f
 amous ones are period ratios 3:1\, 5:2\, 7:3. In the 1980s\, J. Wisdom and
 \, independently\, A. Neishtadt discovered one mechanism of creation for t
 he 3:1 Kirkwood gap. We propose another mechanism of instabilities\, based
  on an a priori chaotic underlying dynamical structure. As an indication o
 f chaos at the Kirkwood gaps\, we show that the eccentricity of Asteroids 
 behaves like a stochastic diffusion process. Along with the famous KAM the
 ory this shows a mixed behavior at the Kirkwood gaps: regular and stochast
 ic. This is a joint work with M. Guardia\, P. Martin and P. Roldan.
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