## A polymer in a multi-interface medium.(English)Zbl 1206.60089

The author considers a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity of the pinning interaction is constant, while the interface spacing $$T$$ is allowed to vary with the size $$N$$ of the polymer. The main result is the explicit determination of the scaling behavior of the model in the large $$N$$ limit, as a function of $$T$$ and for fixed positive intensity. The approach is based on renewal theory.

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60F05 Central limit and other weak theorems 82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
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### References:

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