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arXiv · 2508.19648

Subadditivity of the log-Sobolev constant on convolutions

Thomas A. Courtade·Edric Wang
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Abstract

We present a general subadditivity inequality for log-Sobolev constants of convolution measures. As a corollary, we show that the log-Sobolev constant is monotone along the sequence of standardized convolutions in the central limit theorem.

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Thomas A. Courtade, Edric Wang. 2025-08-27. Subadditivity of the log-Sobolev constant on convolutions. https://arxiv.org/abs/2508.19648

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