23 citations · 199 across the 44 of their papers we have counts for
4 papers · 1 filter
Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models
Michael Aizenman, Matan Harel, Ron Peled +1
For a family of integer-valued height functions defined over the faces of planar graphs, we establish a relation between the probability of connection by level sets and the spin-sp…
What does a typical metric space look like?
Gady Kozma, Tom Meyerovitch, Ron Peled +1
The collection of all metric spaces on points whose diameter is at most can naturally be viewed as a compact convex subset of , k…
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…
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…