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Localization and Delocalization of Random Interfaces Y. Velenik Probab. Surv. 3, 112-169 (2006). 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. Key words: Random interfaces, random surfaces, roughening, entropic repulsion, pinning, wetting, prewetting. Files: PDF, Published version, bibtex