Título: A note on the tensor product of two random unitary matrices
Autores: Tkocz, Tomasz; University of Warwick
Fecha: 2013-01-03
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article
Tema: Random matrices; Circular Unitary Ensemble; Tensor product; Sine point process; Poisson point process
60B20; 15B52
Descripción: In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m by m and n by n. When n becomes large, the process behaves like the superposition of m independent sine processes. When m and n go to infinity, we obtain the Poisson point process in the limit.
Idioma: Inglés

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