Fluctuation Theory in the Boltzmann-Grad Limit

Explore a cutting-edge webinar on fluctuation theory in the Boltzmann-Grad limit, presented by Laure Saint-Raymond from École Normale Supérieure de Lyon. Delve into the long-term project conducted with T. Bodineau, I. Gallagher, and S. Simonella on hard-sphere gases. Discover how the empirical density in low-density limits obeys a law of large numbers and is asymptotically governed by the kinetic Boltzmann equation. Examine deviations from this behavior through dynamical correlations, fully characterized for short times. Gain insights into the resulting fluctuating Boltzmann equation and large deviation asymptotics. Part of the Society for Industrial and Applied Mathematics' online research dissemination initiative, this 1-hour 4-minute webinar aims to recognize achievements in the field and promote the standing of both SIMA and APDE, while benefiting mathematicians in relatively isolated locations.