Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "entropy production"
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A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model
(SpringerJournal of Statistical Physics, 20120821)Kac’s d dimensional model gives a linear, many particle, binary collision model from which, under suitable conditions, the celebrated Boltzmann equation, in its spatially homogeneous form, arise as a mean field limit. The ...

On Villani's conjecture concerning entropy production for the Kac Master equation
(America Institute of Mathematical SciencesKinetic and Related Models, 20110601)In this paper we take an idea presented in recent paper by Carlen, Carvalho, Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new estimation essentially ...