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.
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页码：134 / 149
页数：16
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