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math.PR2000★ 11 cited
Non-intersecting Paths, Random Tilings and Random Matrices
Kurt Johansson
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 cylindri…
math-ph2000★ 239 cited
Universality of the local spacing distribution in certain ensembles of hermitian Wigner matrices
Kurt Johansson
Consider an hermitian random matrix with independent entries, not necessarily Gaussian, a so called Wigner matrix. It has been conjectured that the local spacing distri…