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Manuel D De la Iglesia
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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
472008
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
362008
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
352011
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
352007
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
292015
Differential equations for discrete Laguerre–Sobolev orthogonal polynomials
AJ Durán, MD de la Iglesia
Journal of approximation theory 195, 70-88, 2015
272015
Differential equations for discrete Jacobi–Sobolev orthogonal polynomials
AJ Durán, MD de la Iglesia
Journal of Spectral Theory 8 (1), 191-234, 2018
232018
Constructing Krall–Hahn orthogonal polynomials
AJ Durán, MD de la Iglesia
Journal of Mathematical Analysis and Applications 424 (1), 361-384, 2015
202015
Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials
M Cafasso, MD de La Iglesia
Communications in Mathematical Physics 326, 559-583, 2014
192014
Matrix-Valued Orthogonal Polynomials Related to SU(N+ 1), Their Algebras of Differential Operators, and the Corresponding Curves
FA Grünbaum, MD de la Iglesia
Experimental Mathematics 16 (2), 189-207, 2007
192007
Orthogonal Polynomials in the Spectral Analysis of Markov Processes: Birth-death Models and Diffusion
MD de la Iglesia
Cambridge University Press, 2021
182021
Stochastic LU factorizations, Darboux transformations and urn models
FA Grünbaum, MD de la Iglesia
Journal of Applied Probability 55 (3), 862-886, 2018
132018
Principal dynamical components
MD de la Iglesia, EG Tabak
Communications on Pure and Applied Mathematics 66 (1), 48-82, 2013
132013
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
92018
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
82018
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
82011
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
72021
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
72019
An urn model for the Jacobi-Piñeiro polynomials
F Grünbaum, M de la Iglesia
Proceedings of the American Mathematical Society 150 (8), 3613-3625, 2022
62022
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
52023
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