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Euclidean random matrices and their applications in physics

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Author: A. Goetschy, S.E. Skipetrov
Url: http://arxiv.org/abs/1303.2880
Format: Ps, Pdf
Year: 2013
Category: Mathematical Physics
Pages: 50
Clicks: 1088

Description
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler, standard random matrix ensembles are established. We discuss applications of Euclidean random matrices to contemporary problems in condensed matter physics, optics, and quantum chaos.

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