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Joint Applied Math and Probability Seminar
Wetting transition for gradient interface models and scaling limits
in (1+1) dimension
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We consider an effective model of interface with a gradient interaction on a hard wall with a $\delta$ pinning at the wall. In lower dimensions a wetting transition takes place, that is the interface is localized for strong pinning parameter and delocalized for weak pinning. In the (1+1) dimensional case, we show that the rescaled interface converges to the Brownian excursion in the sub-critical regime, respectively to the reflected Brownian bridge at criticallity. joint work with G.Giacomin and L.Zambotti |