Ratio asymptotic of generalized multi-level Hermite–Padé polynomials

In this talk we present recent results on the ratio asymptotic of a family of multi-orthogonal polynomials associated to a mixed-type Hermite–Padé approximation scheme for Nikishin systems, also known as multi-level Hermite–Padé approximation. These results expand those obtained in [1] and are related to the ones obtained in [2].
This is a joint work with G. López Lagomasino and S. Medina Peralta.