4 papers
Asymptotics of matrix orthogonal polynomials on the real line
Alfredo Deaño, Pablo Román
In this paper, we are interested in matrix valued orthogonal polynomials on the real line with respect to exponential weights. We obtain strong asymptotics as the degree tends to i…
Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices
Alfredo Deaño, Kenneth T-R McLaughlin, Leslie Molag +1
We carry out the asymptotic analysis as of a class of orthogonal polynomials of degree , defined with respect to the planar measure \begin{equation*} d…
Non Abelian Toda-type equations and matrix valued orthogonal polynomials
Alfredo Deaño, LucÃa Morey, Pablo Román
In this paper, we study parameter deformations of matrix valued orthogonal polynomials (MVOPs). These deformations are built on the use of certain matrix valued operators which are…
On Airy solutions of P and the complex cubic ensemble of random matrices, II
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We describe the pole-free regions of the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions. This is a…