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math.PR2026
Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert--Schmidt regime
Matias G. Delgadino, Rishabh Gvalani, Matthew Rosenzweig
We study fixed-temperature logarithmic and Riesz gases after subtracting the leading mean-field contribution relative to a prescribed background law. For repulsive interactions in…
math.PR2026
Uniform logarithmic Sobolev inequalities for the 2D Coulomb gas at the diffusive temperature scale
Matthew Rosenzweig
For and , consider the canonical 2D Coulomb gas ensemble \begin{equation} \mathrm{d}\mathbb{P}_{N,β}(Z) =\mathsf{Z}_{N,β}^{-1}e^{-β|Z|^2/2} \prod_{i<j}|z_i-z_j|^{β/N}\…