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Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chains
Martin Mihelich, Berengere Dubrulle, Didier Paillard +2
Many modern techniques employed in physics, such a computation of path integrals, rely on random walks on graphs that can be represented as Markov chains. Traditionally, estimates…
Statistical optimization for passive scalar transport: maximum entropy production vs maximum Kolmogorov-Sinay entropy
Martin Mihelich, Berengere Dubrulle, Didier Paillard +1
We derive rigorous results on the link between the principle of maximum entropy production and the principle of maximum Kolmogorov-Sinai entropy using a Markov model of the passive…
A non equilibrium Ising model of turbulence
Davide Faranda, Martin Mihelich, Berengere Dubrulle
We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both wit…