Aptekarev, A. I.López Lagomasino, GuillermoÁlvarez Rocha, Ignacio2010-01-072010-01-072005-08Sbornik Mathematics c/c of Matematicheskii Sbornik, 2005, vol. 196, n. 8, p. 1089-11071064-5616https://hdl.handle.net/10016/629319 pages, no figures.-- MSC2000 codes: Primary 42C05, 41A21.-- Originally published in Russian language by the Russian Academy of Mathematics in: Matematicheskii Sbornik 196(8): 3–20 (2005).Zbl#: Zbl 1077.42015The existence of ratio asymptotics is proved for a sequence of multiple orthogonal polynomials with orthogonality relations distributed among a system of m finite Borel measures with support on a bounded interval of the real line which form a so-called Nikishin system. For m=1 this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line.application/pdfeng© Turpion Ltd.Hermite-Padé orthogonal polynomialsMultiple orthogonal polynomialsNikishin systemVarying measuresRatio asymptoticresearch articleMatemáticas10.1070/SM2005v196n08ABEH002329open access