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math-ph2006
Powers of large random unitary matrices and Toeplitz determinants
Maurice Duits, Kurt Johansson
We study the limiting behavior of $\Tr U^{k(n)}$, where is a random unitary matrix and is a natural number that may vary with in an arbitrary way. Our an…
math-ph2005
Random matrices and determinantal processes
Kurt Johansson
We survey recent results on determinantal processes, random growth, random tilings and their relation to random matrix theory.