2 papers
math.PR2026
On the Gardner Transition in the Ising Pure -Spin Glass II
Yuxin Zhou
In previous work, we identified, for every , a unique first critical temperature and proved that the Parisi measure is replica symmetric (RS) for and…
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…