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cond-mat.dis-nn2020
Uniqueness of ground state in the Edwards-Anderson spin glass model
C. Itoi
It is proven rigorously that the ground state in the Edwards-Anderson spin glass model is unique in any dimension for almost all continuous random exchange interactions under a con…
math-ph2020
The Schwartz-Soffer and more inequalities for random fields
C. Itoi, Y. Sakamoto
A new series of correlation inequalities for random field spin systems is proven rigorously. First one corresponds to the well-known Schwartz-Soffer inequality. These are expected…