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Exponential decay of correlations in the two-dimensional random field Ising model
- Publication Year :
- 2019
-
Abstract
- We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary.<br />Comment: 1, This document merges arXiv:1902.03302 and a previous version arXiv:1905.05651v2. The title and abstract are revised accordingly. 2, We also improved exposition by incorporating comments from two anonymous referees
- Subjects :
- Mathematics - Probability
60K35, 82B44
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1905.05651
- Document Type :
- Working Paper