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BIRS Workshop Lecture Videos

Entropy production inequalities for the Kac Walk Carvalho, Maria C


We investigate new functional inequalities for the well-known Kac's Walk, and largely resolve the 'Almost' Cercignani Conjecture on the sphere. A new notion of chaoticity plays an essential role. The results we obtain validate Kac's suggestion that functional inequalities for the Kac walk could be used to quantify the rate of approach to equilibrium for the Kac-Boltzmann equation. This is joint work with E. Carlen and A. Einav.

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