Hang Du

collaborators

2 papers

math.PR2026

Overlap distribution of the critical Sherrington-Kirkpatrick model

Hang Du, Brice Huang

We study the distribution of the two-replica overlap $R_{1, 2}$ in the Ising and spherical Sherrington-Kirkpatrick models at the critical inverse temperature $β = 1$ . Our main result…

math.PR2026

Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature

Hang Du, Brice Huang

We consider the Sherrington-Kirkpatrick spin glass model at the critical inverse temperature $I^^{2} = 1$ with zero external field. We prove that the free energy $F_{N} = F_{N, I^^{2} = 1}$ of t…