Remark on the stability of Log-Sobolev inequality for Gaussian measure
classification
🧮 math.FA
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inequalitygaussianmeasureboundbucurdeficitdimensiondistance
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In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a distance introduced by Bucur and Fragal\`a.
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