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Critical resonance in the non-intersecting lattice path model

Richard W. Kenyon·David B. Wilson
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Abstract

We study the phase transition in the honeycomb dimer model (equivalently, monotone non-intersecting lattice path model). At the critical point the system has a strong long-range dependence; in particular, periodic boundary conditions give rise to a ``resonance'' phenomenon, where the partition function and other properties of the system depend sensitively on the shape of the domain.

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Richard W. Kenyon, David B. Wilson. 2004-06-23. Critical resonance in the non-intersecting lattice path model. https://doi.org/10.1007/s00440-003-0293-z

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