Non-intersecting Paths, Random Tilings and Random Matrices

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dc.creatorJohansson, Kurt
dc.date2000-11-29
dc.date.accessioned2026-07-07T04:38:55Z
dc.date.available2026-07-07T04:38:55Z
dc.descriptionWe investigate certain measures induced by families of non-intersecting paths in domino tilings of the Aztec diamond, rhombus tilings of an abc-hexagon, a dimer model on a cylindrical brick lattice and a growth model. The measures obtained, e.g. the Krawtchouk and Hahn ensembles, have the same structure as the eigenvalue measures in random matrix theory like GUE, which can in fact be obtained from non-intersecting Brownian motions. The derivations of the measures are based on the Karlin-McGregor or Lindström-Gessel-Viennot method. We use the measure to show some asymptotic results for the models.
dc.description48 pages
dc.identifierhttps://arxiv.org/abs/math/0011250
dc.identifierhttp://arxiv.org/abs/math/0011250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60466
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleNon-intersecting Paths, Random Tilings and Random Matrices
dc.typetext

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