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BOUNDS FOR KAC’S MASTER EQUATION
Markov chain the n ball random rotation selected at random
2015/7/14
Mark Kac considered a Markov Chain on the n–sphere based on random rotations
in randomly chosen coordinate planes. This same walk was used by Hastings on
the orthogonal group. We show that the walk ...
An improved upper bound on the Entropy Production for the Kac Master equation
Entropy Production Villani’s Conjecture
2010/12/8
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...