A note on the decay of correlations under δ-pinning

Ioffe, Dmitry; Velenik, Yvan

doi:10.1007/s004400050254

Scientific article

English

A note on the decay of correlations under δ-pinning

ContributorsIoffe, Dmitry; Velenik, Yvan

Published inProbability theory and related fields, vol. 116, no. 3, p. 379-389

Publication date2000

Abstract

We prove that for a class of massless ∇φ interface models on ℤ2, introduction of an arbitrarily small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.

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Not a UNIGE publication

Citation (ISO format)

IOFFE, Dmitry, VELENIK, Yvan. A note on the decay of correlations under δ-pinning. In: Probability theory and related fields, 2000, vol. 116, n° 3, p. 379–389. doi: 10.1007/s004400050254

Article (Accepted version)

Identifiers

PID : unige:6375
DOI : 10.1007/s004400050254

Journal ISSN0178-8051

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Creation26/04/2010 16:08:00

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A note on the decay of correlations under δ-pinning

We prove that for a class of massless ∇φ interface models on ℤ2, introduction of an arbitrarily small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.

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