Ratio asymptotic of Hermite–Padé orthogonal polynomials for Nikishin systems. II

We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures N(σ1,…,σm) such that for each k, σk has constant sign on its support consisting on an interval , on which almost everywhere, and a set without accumulation points in .