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• W2963901128 abstract "In this work, we consider dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp–Lieb inequalities. For this, we use optimal transport methods and the Borell–Brascamp–Lieb inequality. These refinements can be written as a deficit in the classical inequalities. They have the right scale with respect to the dimension. They lead to sharpened concentration properties as well as refined contraction bounds, convergence to equilibrium and short time behavior for the laws of solutions to stochastic differential equations." @default.
• W2963901128 created "2019-07-30" @default.
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• W2963901128 date "2018-01-01" @default.
• W2963901128 modified "2023-10-17" @default.
• W2963901128 title "Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp–Lieb inequalities" @default.
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• W2963901128 doi "https://doi.org/10.1214/17-aop1184" @default.
• W2963901128 hasPublicationYear "2018" @default.
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