Caravenna, F; Giacomin, G; Zambotti, L (2006). Sharp asymptotic behavior for wetting models in (1+1)-dimension. Electronic Journal of Probability, 11(14):345-362.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 16 Nov 2009 21:05 |
| Last Modified: | 18 May 2022 07:08 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1083-6489 |
| OA Status: | Gold |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1214/EJP.v11-320 |
| Official URL: | http://www.math.washington.edu/~ejpecp/viewarticle.php?id=1583 |
| Related URLs: | http://arxiv.org/abs/math/0511376 http://www.ams.org/mathscinet-getitem?mr=2217821 |
Caravenna, F