Critical resonance in the non-intersecting lattice path model
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- Kenyon, R. & Wilson, D. Probab. Theory Relat. Fields (2004) 130: 289. doi:10.1007/s00440-003-0293-z
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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.