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a)This Special Tutorial is based on the Tutorial Lecture by 2010 Fields Medalist Cédric Villani presented at the 2011 Division of Plasma Physics meeting of the American Physical Society in Salt Lake City, Utah. Cédric Villani is Professeur at Université de Lyon; he received the Fields Medal in 2010 for his proofs of nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation. His awards include the Jacques Herbrand Prize of the French Academy of Science (2007), the Prize of the European Mathematical Society (2008), the Henri Poincaré Prize of the International Association for Mathematical Physics, and the Fermat Prize (2009). In 2009, he was appointed as the director of the Institut Henri Poincaré (IHP) in Paris, and part-time visitor at the Institut des Hautes Études Scientifiques (IHES).
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