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2006 Localization and delocalization of random interfaces
Yvan Velenik
Probab. Surveys 3: 112-169 (2006). DOI: 10.1214/154957806000000050


The probabilistic study of effective interface models has been quite active in recent years, with a particular emphasis on the effect of various external potentials (wall, pinning potential, ...) leading to localization/delocalization transitions. I review some of the results that have been obtained. In particular, I discuss pinning by a local potential, entropic repulsion and the (pre)wetting transition, both for models with continuous and discrete heights.


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Yvan Velenik. "Localization and delocalization of random interfaces." Probab. Surveys 3 112 - 169, 2006.


Published: 2006
First available in Project Euclid: 4 May 2006

zbMATH: 1189.82051
MathSciNet: MR2216964
Digital Object Identifier: 10.1214/154957806000000050

Primary: 60K35 , 82B41
Secondary: 82B24 , 82B27

Keywords: Entropic repulsion , Pinning , prewetting , Random interfaces , Random surfaces , roughening , wetting

Rights: Copyright © 2006 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.3 • 2006
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