Critical resonance in the non-intersecting lattice path model

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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.
28 pages, 6 figures. v4 has changes suggested by referee

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Probability, Condensed Matter, Combinatorics, 82B20; 60C05

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http://salesiana.dossiersoluciones.com/handle/123456789/62677

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111199
 http://arxiv.org/abs/math/0111199
 Probability Theory and Related Fields 130(3):289--318, 2004
 doi:10.1007/s00440-003-0293-z

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arXiv