2019/07/15 by Michael Aizenman, Matan Harel, Ron Peled · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.PR #msc:82B44 #msc:60K35
paper · pdf · doi:10.1007/s10955-019-02401-5
published as Journal of Statistical Physics volume 180, pages 304-331 (2020) · 27 pages, 3 figures
arxiv created 2019/07/15 · arxiv updated 2022/01/25
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 percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.