Critical resonance in the non-intersecting lattice path model

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dc.creatorKenyon, Richard W.
dc.creatorWilson, David B.
dc.date2001-11-19
dc.date2004-06-23
dc.date.accessioned2026-07-07T04:44:39Z
dc.date.available2026-07-07T04:44:39Z
dc.descriptionWe 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.
dc.description28 pages, 6 figures. v4 has changes suggested by referee
dc.identifierhttps://arxiv.org/abs/math/0111199
dc.identifierhttp://arxiv.org/abs/math/0111199
dc.identifierProbability Theory and Related Fields 130(3):289--318, 2004
dc.identifierdoi:10.1007/s00440-003-0293-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62677
dc.subjectProbability
dc.subjectCondensed Matter
dc.subjectCombinatorics
dc.subject82B20; 60C05
dc.titleCritical resonance in the non-intersecting lattice path model
dc.typetext

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