- 93-200 Anton Bovier, Christof K\"ulske
- Hierarchical interfaces in random media II: the Gibbs measures
Jul 20, 93
(auto. generated ps),
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Abstract. We continue the analysis of hierarchical interfaces in random media started
in [BoP] and [BoK]. We show that from the estimates on the renormalized
random variables established in these references, it follows that these models
possess unique Gibbs states describing mostly flat interfaces in dimension
$D>3$, if the disorder is weak and the temperature low enough.
In the course of the proof we also present very explicit formulas
for expectations of local observables.