Publications in collaboration with researchers from Instituto de Ciencias Matemáticas (21)

2024

  1. Jacobi–Piñeiro Markov chains

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 118, Núm. 1

  2. Sobolev orthogonal polynomials, Gauss–Borel factorization and perturbations

    Analysis and Mathematical Physics, Vol. 14, Núm. 4

2023

  1. Bidiagonal factorization of tetradiagonal matrices and Darboux transformations

    Analysis and Mathematical Physics, Vol. 13, Núm. 3

  2. Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions

    Journal of Mathematical Analysis and Applications, Vol. 528, Núm. 1

  3. Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials

    Studies in Applied Mathematics, Vol. 151, Núm. 2, pp. 509-535

  4. Positive bidiagonal factorization of tetradiagonal Hessenberg matrices

    Linear Algebra and Its Applications, Vol. 677, pp. 132-160

  5. Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials

    Advances in Mathematics, Vol. 434

2022

  1. Multiple orthogonal polynomials: Pearson equations and Christoffel formulas

    Analysis and Mathematical Physics, Vol. 12, Núm. 6

  2. Multivariate Orthogonal Laurent Polynomials and Integrable Systems

    Publications of the Research Institute for Mathematical Sciences, Vol. 58, Núm. 1, pp. 79-185

  3. Multivariate Toda hierarchies and biorthogonal polynomials

    Physica D: Nonlinear Phenomena, Vol. 434

  4. Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations

    Studies in Applied Mathematics, Vol. 148, Núm. 3, pp. 1141-1179

  5. Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 4

  6. Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV

    Mathematics, Vol. 10, Núm. 8

2021

  1. Matrix biorthogonal polynomials: Eigenvalue problems and non-Abelian discrete Painlevé equations: A Riemann–Hilbert problem perspective

    Journal of Mathematical Analysis and Applications, Vol. 494, Núm. 2

  2. Revisiting Biorthogonal Polynomials: An LU Factorization Discussion

    SEMA SIMAI Springer Series (Springer Science and Business Media Deutschland GmbH), pp. 273-307

  3. Riemann–Hilbert Problem and Matrix Biorthogonal Polynomials

    SEMA SIMAI Springer Series (Springer Science and Business Media Deutschland GmbH), pp. 1-15

2019

  1. Matrix biorthogonal polynomials on the real line: Geronimus transformations

    Bulletin of Mathematical Sciences, Vol. 9, Núm. 2

  2. Riemann-Hilbert problem and matrix discrete Painlevé II systems

    Studies in Applied Mathematics, Vol. 143, Núm. 3, pp. 272-314

2018

  1. Non-Abelian integrable hierarchies: Matrix biorthogonal polynomials and perturbations

    Journal of Physics A: Mathematical and Theoretical, Vol. 51, Núm. 20

2017

  1. Christoffel transformations for matrix orthogonal polynomials in the real line and the non-abelian 2d toda lattice hierarchy

    International Mathematics Research Notices, Vol. 2017, Núm. 5, pp. 1285-1341