2 papers
math.PR2025
Existence of Full Replica Symmetry Breaking for the Sherrington-Kirkpatrick Model at Low Temperature
Yuxin Zhou
We prove the existence of full replica symmetry breaking (FRSB) for the Sherrington-Kirkpatrick (SK) model at low temperature. More specifically, we prove that slightly beyond the…
math.PR2024
On the Gardner Transition in the Ising Pure -Spin Glass
Yuxin Zhou
We prove the existence of one-step replica symmetry breaking (1RSB) for the mean field Ising spin glasses at finite temperature and identify the first critical temperature in Gardn…