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SUMMARY:Kac's process and the spatially homogeneous Boltzmann equation - D
 aniel Heydecker (MPI)
DTSTART:20220906T130000Z
DTEND:20220906T140000Z
UID:TALK178475@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION:Kac introduced a family of stochastic\, many particle systems 
 which model the behaviour of a spatially homogeneous\, dilute gas\, with e
 volution through binary elastic collisions. In the limit where the number 
 of particles diverges\, the empirical measures have the spatially homogene
 ous Boltzmann equation as a fluid limit. Although the Boltzmann equation i
 tself is not explicitly probabilistic\, we may use Kac's process to study 
 the Boltzmann Equation and vice versa\, and in this talk I will discuss so
 me recent works exploring this connection.
LOCATION:MR9\, Centre for Mathematical Sciences
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