Localization of a Gaussian membrane model with weak pinning potentials

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We consider a class of effective models on ℤd called Gaussian membrane models with square-well pinning or σ-pinning. It is known that when d = 1 this model exhibits a localization/delocalization transition that depends on the strength of the pinning. In this paper, we show that when d ≥ 2, once we impose weak pinning potentials the field is always localized in the sense that the corresponding free energy is always positive. We also discuss the case that both square-well potentials and repulsive potentials are acting in high dimensions.

本文言語English
ページ(範囲)1123-1140
ページ数18
ジャーナルAlea
15
2
DOI
出版ステータスPublished - 2018

ASJC Scopus subject areas

  • 統計学および確率

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