## Electronic Journal of Probability

### Sharp asymptotic behavior for wetting models in (1+1)-dimension

#### 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.

#### Article information

Source
Electron. J. Probab. Volume 11 (2006), paper no. 14, 345-362.

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

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1464730549

Digital Object Identifier
doi:10.1214/EJP.v11-320

Mathematical Reviews number (MathSciNet)
MR2217821

Zentralblatt MATH identifier
1112.60068

Rights

#### Citation

Caravenna, Francesco; Giacomin, Giambattista; Zambotti, Lorenzo. Sharp asymptotic behavior for wetting models in (1+1)-dimension. Electron. J. Probab. 11 (2006), paper no. 14, 345--362. doi:10.1214/EJP.v11-320. https://projecteuclid.org/euclid.ejp/1464730549

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