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math.PR2026
High-Dimensional Ultra-Log-Concave Distributions
Zongchen Chen, Sihan Wang
Ultra-log-concave distributions are ubiquitous in probability, combinatorics, and statistical mechanics and have been studied extensively. In this paper, we introduce a quantitativ…
math.PR2025
Factorizations of relative entropy using stochastic localization
Pietro Caputo, Zongchen Chen, Daniel Parisi
We derive entropy factorization estimates for spin systems using the stochastic localization approach proposed by Eldan and Chen-Eldan, which, in this context, is equivalent to the…
math.PR2024
Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time
Pietro Caputo, Zongchen Chen, Yuzhou Gu +1
This paper considers the speed of convergence (mixing) of a finite Markov kernel with respect to the Kullback-Leibler divergence (entropy). Given a Markov kernel one defines ei…