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


Bolthausen, E; Brydges, D (2001). Localization and decay of correlations for a pinned lattice free field in dimension two. In: de Gunst, M; Klaassen, C; van der Vaart, A. State of the art in probability and statistics (Leiden 1999). Beachwood, OH: Institut of Mathematical Statistics, 134-149.

Abstract

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.

Abstract

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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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2001
Deposited On:27 Apr 2010 07:14
Last Modified:06 Dec 2017 20:52
Publisher:Institut of Mathematical Statistics
Series Name:IMS Lecture Notes Monograph Series
Number:36
ISSN:0749-2170
ISBN:0-940600-50-1
Publisher DOI:https://doi.org/10.1214/lnms/1215090066
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1836558
http://www.jstor.org/stable/4356109

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