Subadditivity of the log-Sobolev constant on convolutions
Functional Analysis
2025-08-28 v1 Information Theory
math.IT
Probability
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.
Keywords
Cite
@article{arxiv.2508.19648,
title = {Subadditivity of the log-Sobolev constant on convolutions},
author = {Thomas A. Courtade and Edric Wang},
journal= {arXiv preprint arXiv:2508.19648},
year = {2025}
}