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Random matrices and determinantal processes
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We survey recent results on determinantal processes, random growth, random tilings and their relation to random matrix theory.
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Cited by 3 Pith papers
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The Singular Values of L\'evy's Area Matrix
Explicit density for singular values of Lévy's area matrix, determinantal point process characterization, and d to infinity asymptotics including absolute Cauchy limit.
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A differential equation for a class of correlation kernels
The paper presents a third-order nonlinear differential equation (Eq. 6) whose imaginary part, integrated over x, yields the correlation kernel K(E,E') for Schrodinger-type random matrix models, generalizing the Gel'f...
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PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"
Exact mappings connect trapped fermions to random matrix theory, yielding edge statistics for fermions and Ginibre eigenvalues plus gap statistics for discrete random walks.
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