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Author

Zhenfu Wang

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Preprint Sep 2026

Uniform Partition-Function Estimates for Coulomb Modulated Energy at All Positive Temperatures

We prove uniform-in-$N$ partition-function estimates at all positive temperatures for the centered modulated energy of logarithmic, Riesz, and Bessel--Riesz kernels on $\mathbb R^d$ in the locally square-integrable range $0\le s<d/2$. They yield finite-particle exponential integrability, quadratic behavior at small par...

Zhenfu Wang, Xianliang Zhao · 1 citation · ⚡1
Preprint Jul 2026

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions

We study Gaussian fluctuations for a lower-triangular system of interacting diffusions in which particle $i$ interacts only with its predecessors. Although the empirical measure of this system converges to the same McKean--Vlasov limit as in the corresponding exchangeable mean-field system, the sequential structure rem...

Zhenfu Wang, Xianliang Zhao · 0 citations

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