2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15586This paper is a detailed account of the recent progress in understanding the statistical properties of complex eigenvalues of random non-Hermitian matrices reported earlier in our two short communications: Physics Letters A v.226, 46 (1997) and Phys. Rev. Lett., v.79, 557 (1997)34 pages+2 eps figure; to be published in Annales de l'Institut Henri PoincareChaotic DynamicsUniversality in the random matrix spectra in the regime of weak non-Hermiticitytext