BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Thierry Bodineau (École Polytechnique)
DTSTART:20210409T163000Z
DTEND:20210409T173000Z
DTSTAMP:20260423T005712Z
UID:PatC/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/33/">Fl
 uctuating Boltzmann equation and large deviations for a hard sphere gas</a
 >\nby Thierry Bodineau (École Polytechnique) as part of Probability and t
 he City Seminar\n\n\nAbstract\nA gas dynamics can be modelled by a billiar
 d made of hard spheres\, moving according to the laws of classical mechani
 cs. Initially the spheres are randomly distributed according to a probabil
 ity measure which is then transported by the flow of the deterministic dyn
 amics. Since the seminal work of Lanford\, it is known in the kinetic limi
 t that the gas density converges towards the Boltzmann equation (at least 
 for a short time). \n\nIn this talk\, we are going to discuss the fluctuat
 ions of the microscopic dynamics around the Boltzmann equation and the con
 vergence of the fluctuation field to the fluctuating Boltzmann equation. W
 e will also show that the occurence of atypical evolutions can be quantifi
 ed by a large deviation principle. This analysis relies on the study of th
 e correlations created by the Hamiltonian dynamics. We will see that the e
 mergence of irreversibility in the kinetic limit can be related to the sin
 gularity of these correlations.\n\nZoom meeting ID: 991 4448 8133\, passwo
 rd: 800920\n
LOCATION:https://researchseminars.org/talk/PatC/33/
END:VEVENT
END:VCALENDAR