WIAS Preprint No. 418, (1998)

A note on the decay of correlations under delta-pinning


  • Ioffe, Dmitry
  • Velenik, Yvan

2010 Mathematics Subject Classification

  • 60K35 60J15 82A41


  • Effective interface model, random walks, decay of correlations


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.

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