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1 MODAL-X - Modélisation aléatoire de Paris X

Abstract : This paper introduces a notion of gradient and an inmal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main application, the hypercontractivity of this class of inmal-convolution operators is connected to some discrete version of the log-Sobolev inequality and to a discrete version of Talagrand-s transport inequality.





Autor: Yan Shu -

Fuente: https://hal.archives-ouvertes.fr/



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