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.