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Preprints, Working Papers, ... (Preprint) Year : 2023

Stability for the logarithmic Sobolev inequality


This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality. Our approach covers several cases involving the strongest possible norm with the optimal exponent, under constraints. Explicit constants are obtained. The strategy of proof relies on entropy methods and the Ornstein-Uhlenbeck flow.
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Dates and versions

hal-04042046 , version 1 (22-03-2023)


  • HAL Id : hal-04042046 , version 1


Giovanni Brigati, Jean Dolbeault, Nikita Simonov. Stability for the logarithmic Sobolev inequality. 2023. ⟨hal-04042046⟩
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