Rishabh S. Gvalani

Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert--Schmidt regime

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 the Hilbert--Schmidt regime, we prove $N$-uniform bounds and quantitative convergence of the resulting modulated partition function to a nor...