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Bricmont, J
1987
Earlier work this paper cites.
Bricmont, J
1988
Earlier work this paper cites.
Aizenman, M
1989
Earlier work this paper cites.
Aizenman, M
1990
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2009
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2017

On the decay of correlations in the random field Ising model

Chatterjee, Sourav

Understand

In a celebrated 1990 paper, Aizenman and Wehr proved that the two-dimensional random field Ising model has a unique infinite volume Gibbs state at any temperature.

The proof is ergodic-theoretic in nature and does not provide any quantitative information.
This article proves the first quantitative version of the Aizenman-Wehr theorem.
The proof introduces a new method for proving decay of correlations that may be interesting in its own right.