On the Ultrametricity Property in Random Field Ising Models
Mathematical Physics
2020-10-28 v2 Statistical Mechanics
math.MP
Probability
Abstract
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.
Cite
@article{arxiv.1904.10477,
title = {On the Ultrametricity Property in Random Field Ising Models},
author = {Jamer Roldan and Roberto Vila},
journal= {arXiv preprint arXiv:1904.10477},
year = {2020}
}
Comments
15 pages. Accepted for publication in Journal of Mathematical Physics