58 citations · 106 across the 14 of their papers we have counts for
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math-ph2021★ 1 cited
Random-field random surfaces
Paul Dario, Matan Harel, Ron Peled
We study how the typical gradient and typical height of a random surface are modified by the addition of quenched disorder in the form of a random independent external field. The r…
math-ph2021
Quantitative disorder effects in low-dimensional spin systems
Paul Dario, Matan Harel, Ron Peled
The Imry-Ma phenomenon, predicted in 1975 by Imry and Ma and rigorously established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low-dimensional spin…
math-ph2019★ 20 cited
Exponential decay of correlations in the 2D random field Ising model
Michael Aizenman, Matan Harel, Ron Peled
An extension of the Ising spin configurations to continuous functions is used for an exact representation of the Random Field Ising Model's order parameter in terms of disagreement…