• Media type: Text; E-Book; Report
  • Title: A note on the decay of correlations under delta-pinning
  • Contributor: Ioffe, Dmitry [Author]; Velenik, Yvan [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 1998
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.418
  • Keywords: 60G50 ; article ; 60K35 ; Effective interface model -- random walks -- decay of correlations ; 82A41
  • Origination:
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  • Description: We prove that for a class of massless ∇ɸ interface models on ℤ2 an introduction of an arbitrary small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.