2 citations · 2 across the 3 of their papers we have counts for
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Sharp Phase Transition for the Random-Cluster Model with Summable External Magnetic Field
Roberto Vila
In this paper, we prove sharpness of the phase transition for the random-cluster model in summable positive external fields, with cluster weight q=2,3,..., on the hypercubic lattic…
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.
Existence of Scaling Limit Phase Transition in a Two-dimensional Random Polymer Model
Luis R. Lucinger, Roberto Vila
In this paper we prove a scaling limit phase transition for a class of two-dimensional random polymers.
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…