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Mathematics > Probability

arXiv:math/0509695v2 (math)
[Submitted on 29 Sep 2005 (v1) , revised 12 May 2006 (this version, v2) , latest version 15 May 2006 (v3) ]

Title: Localization and delocalization of random interfaces

Title: 随机界面的局域化和非局域化

Authors:Yvan Velenik
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.
Comments: 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
Subjects: Probability (math.PR) ; Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)
MSC classes: 60K35;82B41;82B24;82B27
Cite as: arXiv:math/0509695 [math.PR]
  (or arXiv:math/0509695v2 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.math/0509695
Journal reference: IMS-PS-PS_2005_49
Related DOI: https://doi.org/10.1214/154957806000000050

Submission history

From: Yvan Velenik [view email]
[v1] Thu, 29 Sep 2005 14:41:30 UTC (149 KB)
[v2] Fri, 12 May 2006 09:21:04 UTC (201 KB)
[v3] Mon, 15 May 2006 13:41:48 UTC (313 KB)
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