RT Journal Article T1 Gravitational lensing by eigenvalue distributions ofrandom matrix models A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB 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. PB IOP Publishing Ltd SN 0264-9381 YR 2018 FD 2018-05-10 LK https://hdl.handle.net/20.500.14352/12092 UL https://hdl.handle.net/20.500.14352/12092 LA eng NO © 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. NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 14 may 2025