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Subadditivity of the log-Sobolev constant on convolutions

Published: August 27, 2025 | arXiv ID: 2508.19648v1

By: Thomas A. Courtade, Edric Wang

Potential Business Impact:

Makes math rules work for more complex problems.

Business Areas:
A/B Testing Data and Analytics

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.

Page Count
8 pages

Category
Mathematics:
Functional Analysis