@article{be9f2c5e1f214499927c35da8752f678,
title = "Entropic repulsion for the high dimensional Gaussian lattice field between two walls",
abstract = "The main aim of this paper is to discuss the entropic repulsion of random interfaces between two hard walls. We consider the d (≥ 3)-dimensional Gaussian lattice field on ℝλ N , λ N = [-N, N] d ∩ ℤd and identify the repulsion of the field as N → ∞ under the condition that the field lies between two hard walls at the height level 0 and L in Λ N where L is large enough but finite. We also study the same problem for two layered interfaces case.",
keywords = "Entropic repulsion, Gaussian field, Gibbs measure, Hard wall, Random interface",
author = "Hironobu Sakagawa",
note = "Funding Information: The author would like to thank Giambattista Giacomin for his helpful advises and Yvan Velenik for informing Griffith{\textquoteright}s inequality and interesting discussions. He also thanks anonymous referees for their useful remarks and careful reading of the paper. This work was partially supported by JSPS Postdoctoral Fellowships for Research Abroad. Copyright: Copyright 2006 Elsevier B.V., All rights reserved.",
year = "2006",
month = sep,
doi = "10.1007/s10955-006-9049-3",
language = "English",
volume = "124",
pages = "1255--1274",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "5",
}