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$W^{1,1}$ stability for the LSI

Published 2 Jun 2024 in math.AP, math-ph, and math.MP | (2406.00746v1)

Abstract: The logarithmic Sobolev inequality is fundamental in mathematical physics. Associated stability estimates are equivalent to uncertainty principles. Via a second moment bound, $W{1,1}$ estimates are obtained in one dimension and similar $W_1$-quantitative estimates are investigated.

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