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2006 Sharp asymptotic behavior for wetting models in (1+1)-dimension
Francesco Caravenna, Giambattista Giacomin, Lorenzo Zambotti
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Electron. J. Probab. 11: 345-362 (2006). DOI: 10.1214/EJP.v11-320

Abstract

We consider continuous and discrete (1+1)-dimensional wetting models which undergo a localization/delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition function, from which we obtain the scaling limits of the models and an explicit construction of the infinite volume measure in all regimes, including the critical one.

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Francesco Caravenna. Giambattista Giacomin. Lorenzo Zambotti. "Sharp asymptotic behavior for wetting models in (1+1)-dimension." Electron. J. Probab. 11 345 - 362, 2006. https://doi.org/10.1214/EJP.v11-320

Information

Accepted: 8 May 2006; Published: 2006
First available in Project Euclid: 31 May 2016

zbMATH: 1112.60068
MathSciNet: MR2217821
Digital Object Identifier: 10.1214/EJP.v11-320

Subjects:
Primary: 60K35
Secondary: 60F10, 82B41

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