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- W2053281886 abstract "We 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 can 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 measures to show some asymptotic results for the models." @default.
- W2053281886 created "2016-06-24" @default.
- W2053281886 creator A5045613731 @default.
- W2053281886 date "2002-06-01" @default.
- W2053281886 modified "2023-10-02" @default.
- W2053281886 title "Non-intersecting paths, random tilings and random matrices" @default.
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- W2053281886 doi "https://doi.org/10.1007/s004400100187" @default.
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