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math.PR2026
Uniform Partition-Function Estimates for Coulomb Modulated Energy at All Positive Temperatures
Zhenfu Wang, Xianliang Zhao
We prove uniform-in- partition-function estimates at all positive temperatures for the centered modulated energy of logarithmic, Riesz, and Bessel--Riesz kernels on $\mathbb R^d…
math.PR2026
A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions
Zhenfu Wang, Xianliang Zhao
We study Gaussian fluctuations for a lower-triangular system of interacting diffusions in which particle interacts only with its predecessors. Although the empirical measure of…
math.PR2026
Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy
Zhenfu Wang, Xianliang Zhao
We study a lower-triangular system of interacting diffusions in which particle \(i\) interacts only with its predecessors through the empirical measure \(μ^{i-1}_t\). This gives a…