Probability Surveys

Localization and delocalization of random interfaces

Yvan Velenik

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Abstract

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.

Article information

Source
Probab. Surveys, Volume 3 (2006), 112-169.

Dates
First available in Project Euclid: 4 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.ps/1146757332

Digital Object Identifier
doi:10.1214/154957806000000050

Mathematical Reviews number (MathSciNet)
MR2216964

Zentralblatt MATH identifier
1189.82051

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B41: Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41]
Secondary: 82B24: Interface problems; diffusion-limited aggregation 82B27: Critical phenomena

Keywords
random interfaces random surfaces roughening entropic repulsion pinning wetting prewetting

Citation

Velenik, Yvan. Localization and delocalization of random interfaces. Probab. Surveys 3 (2006), 112--169. doi:10.1214/154957806000000050. https://projecteuclid.org/euclid.ps/1146757332


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