Abstract.
We consider a model of a two-dimensional interface of the (continuous) SOS type, with finite-range, strictly convex interactions. We prove that, under an arbitrarily weak pinning potential, the interface is localized. We consider the cases of both square well and δ potentials. Our results extend and generalize previous results for the case of nearest-neighbours Gaussian interactions in [7] and [11]. We also obtain the tail behaviour of the height distribution, which is not Gaussian.
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Received: 3 November 1998 / Revised version: 14 June 1999
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Deuschel, JD., Velenik<!-ID="*"Supported by DFG grant De 663/2-1.-->, Y. Non-Gaussian surface pinned by a weak potential. Probab Theory Relat Fields 116, 359–377 (2000). https://doi.org/10.1007/s004400070004
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DOI: https://doi.org/10.1007/s004400070004