Caravenna, Francesco; Giacomin, Giambattista; Zambotti, Lorenzo Sharp asymptotic behavior for wetting models in \((1+1)\)-dimension. (English) Zbl 1112.60068 Electron. J. Probab. 11, Paper No. 14, 345-362 (2006). Summary: 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. Cited in 12 Documents MSC: 60K10 Applications of renewal theory (reliability, demand theory, etc.) 60K05 Renewal theory PDFBibTeX XMLCite \textit{F. Caravenna} et al., Electron. J. Probab. 11, Paper No. 14, 345--362 (2006; Zbl 1112.60068) Full Text: DOI arXiv EuDML