Author

Si-Han Wang

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Preprint Sep 2026

High-Dimensional Ultra-Log-Concave Distributions

Ultra-log-concave distributions are ubiquitous in probability, combinatorics, and statistical mechanics and have been studied extensively. In this paper, we introduce a quantitative high-dimensional extension of this notion, called $\delta$-ultra-log-concavity, for probability measures on $\mathbb{N}^d$ with downward c...

Zong-Chen Chen, Si-Han Wang · 0 citations