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math-ph2018★ 22 cited
Universal hypotrochoidic law for random matrices with cyclic correlations
Pau Vilimelis Aceituno, Tim Rogers, Henning Schomerus
The celebrated elliptic law describes the distribution of eigenvalues of random matrices with correlations between off-diagonal pairs of elements, having applications to a wide ran…
math-ph2009★ 22 cited
Universal sum and product rules for random matrices
Tim Rogers
The spectral density of random matrices is studied through a quaternionic generalisation of the Green's function, which precisely describes the mean spectral density of a given mat…