Thierry Bodineau

École Polytechnique


Joint PAD seminar: Perturbative regimes for deterministic dynamics of a diluted gas of hard spheres


Probability Seminar


6th October 2017, 3:30 pm – 4:30 pm
Main Maths Building, SM4


We consider a dilute gas of hard spheres evolving according to Newtonian dynamics and starting close to equilibrium. We will show that, in the Boltzmann Grad limit, the linear and linearized Boltzmann equations can be recovered up to any large time. As a consequence, we prove that a tagged particle behaves as a Brownian motion after rescaling.





Organisers: Tyler Helmuth, Ofer Busani

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