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

Wang, Zhenfu et al.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsprobability
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 b
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