%0 Journal Article
%A Martínez Alonso, Luis
%A Medina Reus, Elena
%T Gravitational lensing by eigenvalue distributions ofrandom matrix models
%D 2018
%@ 0264-9381
%U https://hdl.handle.net/20.500.14352/12092
%X We propose to use eigenvalue densities of unitary random matrix ensembles as mass distributions in gravitational lensing. The corresponding lens equations reduce to algebraic equations in the complex plane which can be treated analytically. We prove that these models can be applied to describe lensing by systems of edge-on galaxies. We illustrate our analysis with the Gaussian and the quartic unitary matrix ensembles.
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