Kac's chaos and Kac's program

Abstract

In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with C. Mouhot in MMinvent which gives a possible answer to some questions formulated by Kac in Kac1956. We also present some related recent results about Kac's chaos and Kac's program obtained in MMWchaos,HaurayMischler,KleberSphere by K. Carrapatoso, M. Hauray, C. Mouhot, B. Wennberg and myself.

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