Rigid characterizations of probability measures through independence, with applications
Probability
2024-03-12 v1 Information Theory
math.IT
Abstract
Three equivalent characterizations of probability measures through independence criteria are given. These characterizations lead to a family of Brascamp--Lieb-type inequalities for relative entropy, determine equilibrium states and sharp rates of convergence for certain linear Boltzmann-type dynamics, and unify an assortment of inequalities in probability.
Keywords
Cite
@article{arxiv.2403.06615,
title = {Rigid characterizations of probability measures through independence, with applications},
author = {Thomas A. Courtade},
journal= {arXiv preprint arXiv:2403.06615},
year = {2024}
}
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