The strip wetting model is defied by giving a (continuous space) one dimensional random walk S a reward ß each time it hits the strip $R^+ \times [0,a]$ (where a is a given positive parameter), which plays the role of a defect line. We show that this model exhibits a phase transition between a delocalized regime $( \beta > \beta^a_c )$) and a localized one($( \beta > \beta^a_c) $ , where the critical point $ \beta^a_c > 0$ depends on S and on a. In this paper we give a precise pathwise description of the transition, extracting the full scaling limits of the model. Our approach is based on Markov renewal theory.
Keywords: scaling limits for physical systems, flctuation theory for random walks, Markov renewal theory .

Original language | English |
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Place of Publication | Eindhoven |
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Publisher | Eurandom |
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Number of pages | 32 |
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Publication status | Published - 2014 |
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Name | Report Eurandom |
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Volume | 2014009 |
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ISSN (Print) | 1389-2355 |
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