A note on the tensor product of two random unitary matrices

作者: Tomasz Tkocz

DOI: 10.1214/ECP.V18-2484

关键词: Unitary matrixCombinatoricsRandom matrixPure mathematicsMathematicsPoint processTensor product of Hilbert spacesTensor productTensor product of algebrasPoisson point processCircular ensemble

摘要: In this note we consider the point process of eigenvalues tensor product two independent random unitary matrices size m by and n n. When becomes large, behaves like superposition sine processes. go to infinity, obtain Poisson in limit.

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