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


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.

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.

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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Additional indexing

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:29 Jul 2020 19:35
Publisher:Institute of Mathematical Statistics
ISSN:1083-6489
OA Status:Hybrid
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

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