Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes FA Grünbaum, MD de la Iglesia SIAM Journal on Matrix Analysis and Applications 30 (2), 741-761, 2008 | 47 | 2008 |

Some examples of orthogonal matrix polynomials satisfying odd order differential equations AJ Durán, MD de la Iglesia Journal of Approximation Theory 150 (2), 153-174, 2008 | 39 | 2008 |

Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions AJ Durán, MD de la Iglesia arXiv preprint arXiv:0711.1763, 2007 | 36 | 2007 |

Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization FA Grünbaum, MD De la Iglesia, A Martínez-Finkelshtein SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 098, 2011 | 35 | 2011 |

Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk AJ Durán, MD de la Iglesia Constructive Approximation 41, 49-91, 2015 | 31 | 2015 |

Differential equations for discrete Laguerre–Sobolev orthogonal polynomials AJ Durán, MD de la Iglesia Journal of approximation theory 195, 70-88, 2015 | 27 | 2015 |

Differential equations for discrete Jacobi–Sobolev orthogonal polynomials AJ Durán, MD de la Iglesia Journal of Spectral Theory 8 (1), 191-234, 2018 | 25 | 2018 |

Constructing Krall–Hahn orthogonal polynomials AJ Durán, MD de la Iglesia Journal of Mathematical Analysis and Applications 424 (1), 361-384, 2015 | 21 | 2015 |

Matrix-Valued Orthogonal Polynomials Related to SU(*N*+ 1), Their Algebras of Differential Operators, and the Corresponding CurvesFA Grünbaum, MD de la Iglesia Experimental Mathematics 16 (2), 189-207, 2007 | 19 | 2007 |

Orthogonal Polynomials in the Spectral Analysis of Markov Processes: Birth-death Models and Diffusion MD de la Iglesia Cambridge University Press, 2021 | 18 | 2021 |

Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials M Cafasso, MD de La Iglesia Communications in Mathematical Physics 326, 559-583, 2014 | 18 | 2014 |

Stochastic LU factorizations, Darboux transformations and urn models FA Grünbaum, MD de la Iglesia Journal of Applied Probability 55 (3), 862-886, 2018 | 13 | 2018 |

Principal dynamical components MD de la Iglesia, EG Tabak Communications on Pure and Applied Mathematics 66 (1), 48-82, 2013 | 13 | 2013 |

Some bivariate stochastic models arising from group representation theory MD de la Iglesia, P Román Stochastic Processes and their Applications 128 (10), 3300-3326, 2018 | 8 | 2018 |

The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type M Cafasso, MD De La Iglesia SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 076, 2018 | 8 | 2018 |

A note on the invariant distribution of a quasi-birth-and-death process MD de la Iglesia Journal of Physics A: Mathematical and Theoretical 44 (13), 135201, 2011 | 8 | 2011 |

Quasi-birth-and-death processes and multivariate orthogonal polynomials L Fernández, MD de la Iglesia Journal of Mathematical Analysis and Applications 499 (1), 125029, 2021 | 7 | 2021 |

Stochastic Darboux transformations for quasi-birth-and-death processes and urn models FA Grünbaum, MD de la Iglesia Journal of Mathematical Analysis and Applications 478 (2), 634-654, 2019 | 7 | 2019 |

An urn model for the Jacobi-Pińeiro polynomials F Grünbaum, M de la Iglesia Proceedings of the American Mathematical Society 150 (8), 3613-3625, 2022 | 6 | 2022 |

Quantum Markov chains on the line: matrix orthogonal polynomials, spectral measures and their statistics MD de la Iglesia, CF Lardizabal, N Loebens Quantum Information Processing 22 (1), 60, 2023 | 5 | 2023 |