Non-intersecting paths, random tilings and random matrices
نویسندگان
چکیده
منابع مشابه
0 Non - Intersecting Paths , Random Tilings and Random Matrices
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 obtain...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2002
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s004400100187