Ratio Asymptotic of Hermite-Pad\'e Orthogonal Polynomials for Nikishin Systems. II

We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures $\mathcal{N}({\sigma }_1,\mathrm{.}\mathrm{.}\mathrm{.},{\sigma }_m)$ such that for each $k$, the support of ${\sigma }_k$ consists of an interval ${\tilde{\mathrm{\Delta }}}_k$, on which ${\sigma }_k^{\mathrm{\prime }}>0$ almost everywhere, and a set without accumulation points in $\mathbb{R}\setminus {\tilde{\mathrm{\Delta }}}_k$.