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À propos de : Modified logarithmic Sobolev inequalities for canonical ensembles        

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  • Modified logarithmic Sobolev inequalities for canonical ensembles
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  • In this paper, we prove modified logarithmic Sobolev inequalities for canonical ensembles with superquadratic single-site potential. These inequalities were introduced by Bobkov and Ledoux, and are closely related to concentration of measure and transport-entropy inequalities. Our method is an adaptation of the iterated two-scale approach that was developed by Menz and Otto to prove the usual logarithmic Sobolev inequality in this context. As a consequence, we obtain convergence in Wasserstein distance Wp for Kawasaki dynamics on the Ginzburg −Landau’s model.
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  • ps150004
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  • © EDP Sciences, SMAI 2015
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  • EDP Sciences, SMAI
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