Author

Zongchen Chen

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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

Jul 2026

Nonlinear Exchange Dynamics for Independent Sets

In recent years, nonlinear dynamics derived from kinetic theory have gained attention in the context of sampling configurations of spin systems such as the Ising model. We focus on nonlinear dynamics for the hard-core model, a canonical spin system with hard constraints that specifies a distribution over independent se...

Mehrad Abbaszadeh Minab, Pietro Caputo, Zong-Chen Chen et al. · arXiv.org · 0 citations