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SUMMARY:Thierry Bodineau (École Polytechnique)
DTSTART:20200608T120000Z
DTEND:20200608T130000Z
DTSTAMP:20260423T041341Z
UID:HSPETDS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/13/"
 >Fluctuating Boltzmann equation and large deviations for a hard sphere gas
 </a>\nby Thierry Bodineau (École Polytechnique) as part of Horowitz semin
 ar on probability\, ergodic theory and dynamical systems\n\n\nAbstract\nSi
 nce the seminal work of Lanford\, the convergence of the hard-sphere dynam
 ics towards the Boltzmann equation has been established in a dilute gas as
 ymptotic. In this talk\, we are going to discuss the fluctuations of this 
 microscopic dynamics around the Boltzmann equation and the convergence of 
 the fluctuation field to a generalised Ornstein-Uhlenbeck process. We will
  show also that the occurrence of atypical evolutions can be quantified by
  a large deviation principle. This analysis relies on the study of the cor
 relations created by the Hamiltonian dynamics. We will see that the emerge
 nce of irreversibility in the kinetic limit can be related to the singular
 ity of these correlations.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/13/
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