Ratio asymptotics for symmetric multiple orthogonal polynomials

At the centre of this talk are polynomials on a single variable satisfying higher order recurrence relations with all recurrence coefficients, except the last one, equal to zero. The polynomials at issue are orthogonal with respect to a vector of measures, are rotational invariant and all the zeros lie on a star in the complex plane. The discussion will focus on their ratio asymptotic behaviour as well as the zero limit distribution.
This is a joint work with Walter Van Assche.