Localization and decay of correlations for a pinned lattice free field in dimension two

被引：7

作者：

Bolthausen, E ^{[1
]}

Brydges, D ^{[1
]}

机构：

[1] Univ Zurich, Dept Math, CH-8057 Zurich, Switzerland

来源：

STATE OF THE ART IN PROBABILITY AND STATISTICS: FESTSCHRIFT FOR WILLEM R VAN ZWET | 2001年 / 36卷

关键词：

reflection positivity; harmonic crystal;

D O I：

10.1214/lnms/1215090066

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove that the two-dimensional harmonic crystal with a weak local pinning to a wall has finite variance and exponentially decaying correlations, regardless how weak the pinning is. The proof is based on an improved pressure estimate and an application of reflection positivity.

引用

页码：134 / 149

页数：16

共 24 条

[1] Harmonic crystal on the wall: A microscopic approach [J].