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math.AP2023
Stability for the logarithmic Sobolev inequality
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.
math.AP2023
On Gaussian interpolation inequalities
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré and the logarithmic Sobolev inequalities, seen as limits in…