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A lattice model of vesicles sticking to a skewed surface

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Discrete Integrable Systems

We present results on the generating function of a lattice model of an adsorbing polymer, realised as partially directed walks above a skewed line, weighted with respect to the number of contacts and the enclosed area. The solution is in form of a quotient of two q-Bessel functions, and the singular limit as q approaches 1 is of fundamental importance in the phase diagram of the model.

This talk is part of the Isaac Newton Institute Seminar Series series.

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