Critical-Window Fluctuations and Disorder Universality for the Sherrington--Kirkpatrick Model

Yu Cheng, Song-Hao Liu, Qi-Man Shao +1

We establish free-energy fluctuation limits for the Ising Sherrington--Kirkpatrick model in the nonzero parts of its critical window. For fixed $b\ne 0$ and $β_N=1+bN^{-1/3}\sqrt{\l…