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A note on the decay of correlations under δ-pinning
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  • Published: March 2000

A note on the decay of correlations under δ-pinning

  • Dmitry Ioffe1 &
  • Yvan Velenik2 

Probability Theory and Related Fields volume 116, pages 379–389 (2000)Cite this article

  • 93 Accesses

  • 15 Citations

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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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Authors and Affiliations

  1. Faculty of Industrial Engineering, Technion, Haifa 32000, Israel, , , , , , IL

    Dmitry Ioffe

  2. Fachbereich Mathematik, Sekt. MA 7-4, TU-Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany. e-mail: velenik@math.tu-berlin.de, , , , , , DE

    Yvan Velenik

Authors
  1. Dmitry Ioffe
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  2. Yvan Velenik
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Received: 23 November 1998 / Revised version: 14 June 1999

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Cite this article

Ioffe, D., Velenik, Y. A note on the decay of correlations under δ-pinning. Probab Theory Relat Fields 116, 379–389 (2000). https://doi.org/10.1007/s004400050254

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  • Issue Date: March 2000

  • DOI: https://doi.org/10.1007/s004400050254

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Keywords

  • Exponential Decay
  • Interface Model
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