二维固定晶格自由场的局域化和相关衰减

Ims Lecture Notes Monograph Series Pub Date : 1900-01-01 DOI:10.1214/LNMS/1215090066

E. Bolthausen, D. Brydges

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引用次数: 15

摘要

我们证明了具有弱局部钉钉的二维谐波晶体具有有限方差和指数衰减相关性，无论钉钉有多弱。该证明是基于改进的压力估计和反射正性的应用。

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

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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Ims Lecture Notes Monograph Series

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