Journal
INVENTIONES MATHEMATICAE
Volume 224, Issue 3, Pages 999-1045Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00222-020-01024-y
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Funding
- NSF [DMS-1757479]
- Alfred Sloan fellowship
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In the random field Ising model on Z(2) with i.i.d. Gaussian variables as the external field, the effect of boundary conditions on magnetization in a finite box exponentially decreases as the distance to the boundary increases.
We study the random field Ising model on 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.
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