Martínez Alonso, LuisMedina, Elena2023-06-172023-06-172018-05-100264-938110.1088/1361-6382/aab4c9https://hdl.handle.net/20.500.14352/12111© IOP Publishing Ltd We wish to thank G. Álvarez 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.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.engjournal articlehttp://dx.doi.org/10.1088/1361-6382/aab4c9http://iopscience.iop.orgopen access51-73LimitFísica-Modelos matemáticosFísica matemática