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math-ph2019
On the Ultrametricity Property in Random Field Ising Models
Jamer Roldan, Roberto Vila
In this paper we show that the ultrametricity property remains valid in random field Ising models with independent disorder whenever the field strength is a small perturbation.
math-ph2018
Absence of Replica Symmetry Breaking in Finite Fifth Moment Random Field Ising Model
Jamer Roldan, Roberto Vila
This work is concerned with the theory of the Random Field Ising Model on the hypercubic lattice, in the presence of a independent disorder with finite fifth moment. We showed the…