Seminari del Dipartimento

 

Fisica Matematica

Global-in-time fluctuations of the empirical measure at low density

Sergio Simonella


05-12-2022 - 11:30
Largo San Leonardo Murialdo, 1 Aula 009

 

We consider dynamical fluctuations of the hard sphere gas at low density (Boltzmann-Grad limit), with random initial data distributed according to the Gibbs equilibrium measure. This is one of the few cases in which the small time restriction intrinsic to the dynamical perturbation theory can be lifted. We shall explain the main  features of the proof, which is based on an $L^2$ (entropy-type) bound, together with a suitable coupling of deterministic and stochastic dynamics.

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org: GIULIANI Alessandro