Abstract
We consider two versions of random gradient models. In model A the interface feels a bulk term of random fields while in model B the disorder enters through the potential acting on the gradients. It is well known that for gradient models without disorder there are no Gibbs measures in infinite-volume in dimension
In the present paper we prove the existence of shift-covariant gradient Gibbs measures with a given tilt
Citation
Codina Cotar. Christof Külske. "Existence of random gradient states." Ann. Appl. Probab. 22 (4) 1650 - 1692, August 2012. https://doi.org/10.1214/11-AAP808
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