Probability has always been inextricably linked to kinetic theory already from Boltzmann’s and Maxwell’s original foundations. A number of major open mathematical problems concerns giving rigorous validation of various kinetic theory models, either in a mean-field limit to derive models such as the Vlasov equations, or in collisional settings, such as the Boltzmann and Landau equations. Such validations require a significant amount of statistical and probabilistic reasoning. In fact, kinetic theory models arising also in wave turbulence, materials science, and the transport of radiation or neutrons are also all deeply tied to underlying probabilistic reasoning. This smaller event focused on the new progress on these classical problems as well as new connections between probability, stochastic processes and kinetic theory.

This was a satellite meeting of the Isaac Newton Institute programme Frontiers in kinetic theory.