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.
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.
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.
| 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: | 26 Jun 2022 22:35 |
| Publisher: | Institut of Mathematical Statistics |
| Series Name: | IMS Lecture Notes Monograph Series |
| Number: | 36 |
| ISSN: | 0749-2170 |
| ISBN: | 0-940600-50-1 |
| OA Status: | Hybrid |
| 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 |
Bolthausen, E