58 citations · 106 across the 14 of their papers we have counts for
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math.PR2019★ 4 cited
Logarithmic variance for the height function of square-ice
Hugo Duminil-Copin, Matan Harel, Benoit Laslier +2
In this article, we prove that the height function associated with the square-ice model (i.e.~the six-vertex model with on the square lattice), or, equivalently, of the u…
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…
math.PR2019★ 3 cited
Upper tails via high moments and entropic stability
Matan Harel, Frank Mousset, Wojciech Samotij
Suppose that is a bounded-degree polynomial with nonnegative coefficients on the -biased discrete hypercube. Our main result gives sharp estimates on the logarithmic upper t…