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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 will focus on these new progress on these classical problems as well as new connections between probability, stochastic processes and kinetic theory.
This workshop will take place at ICMS. Details about the workshop and registration are available here
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“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
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