Gravitational lensing by eigenvalue distributions of random matrix models

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http://dx.doi.org/10.1088/1361-6382/aab4c9
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2018

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Medina Reus, Elena
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IOP Publishing Ltd
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https://hdl.handle.net/20.500.14352/12092
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Abstract
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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© IOP Publishing Ltd. We wish to thank G. Alvarez for his help and many useful conversations. The financial support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P is also gratefully acknowledged.
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Física-Modelos matemáticos , Física matemática
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