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arXiv · 2406.00746

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

Emanuel Indrei
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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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Emanuel Indrei. 2024-06-02. $W^{1,1}$ stability for the LSI. https://arxiv.org/abs/2406.00746

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