97 citations · 195 across the 26 of their papers we have counts for
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Long-time correlations for a hard-sphere gas at equilibrium
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical…
Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We present a mathematical theory of dynamical fluctuations for the hard sphere gas in the Boltzmann-Grad limit. We prove that: (1) fluctuations of the empirical measure from the so…
Fluctuation theory in the Boltzmann--Grad limit
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numb…