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Localization and delocalization of random interfaces

Published in Probability Surveys. 2006, vol. 3, p. 112-169
Abstract The study of effective interface models has been quite active recently, 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. This text is based on lecture notes for a mini-course given during the workshop "Topics in Random Interfaces and Directed Polymers" held in Leipzig, September 12-17 2005.
Keywords random interfacesrandom surfacesrougheningentropic repulsionpinningwettingprewetting
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VELENIK, Yvan. Localization and delocalization of random interfaces. In: Probability Surveys, 2006, vol. 3, p. 112-169. doi: 10.1214/154957806000000050

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Deposited on : 2010-04-27

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