Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction (Q2270605)
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| Language | Label | Description | Also known as |
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| English | Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction |
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Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction (English)
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28 July 2009
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The paper deals with a discrete random field with discrete Laplacian interaction and symmetrical, uniformly strictly convex potential. The pinning model is defined by giving the field nonnegative reward each time it touches the \(x\)-axis, that plays the role of a defect line. By using approach based on Markov renewal theory, authors give a precise pathwise description, extracting the full scaling limits of the model.
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pinning model
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phase transition
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scaling limit
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Brascamp-Lieb inequality
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Markov renewal theory
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Levy process
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