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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…
cs.DS2026
Nonlinear Exchange Dynamics for Independent Sets
Mehrad Abbaszadeh Minab, Pietro Caputo, Zongchen Chen +2
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…