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Summerschool on "Current Topics in Mathematical Physics"
Organizers: Maria Esteban (Paris Dauphine), Mathieu Lewin (Cergy) & Robert Seiringer (Vienna)


Jens Marklof (Bristol, UK) "From Newton's laws to macroscopic transport equations: The Boltzmann-Grad limit of the Lorentz gas" 1
Wednesday 04 September 2013, 09:30 - 10:30
CIRM Marseille


Abstract: Since the revolutionary ideas of Boltzmann well over a century ago, the rigorous derivation of kinetic transport equations for a macroscopic particle cloud remains one of the key challenges in mathematical physics. In these lectures I will describe recent progress in the case of the Lorentz gas, a dilute gas of point particles moving in an infinite array of scatterers, and describe the transport equations that emerge in the limit of small scatterer density. The lectures will introduce a non-expert audience to the relevant techniques from dynamical systems, ergodic theory, number theory and mathematical physics.