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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