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math.PR2013
Modified logarithmic Sobolev inequalities for canonical ensembles
Max Fathi
In this paper, we prove modified logarithmic Sobolev inequalities for canonical ensembles with superquadratic single-site potential. These inequalities were introduced by Bobkov an…
math.PR2013
Transport-entropy inequalities and deviation estimates for stochastic approximation schemes
Max Fathi, Noufel Frikha
We obtain new transport-entropy inequalities and, as a by-product, new deviation estimates for the laws of two kinds of discrete stochastic approximation schemes. The first one ref…