sample of publications

• articles 

  • On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I.  Journal of Physics A: Mathematical and Theoretical.  56. 2023
  • Asymptotics of matrix valued orthogonal polynomials on [-1,1].  ADVANCES IN MATHEMATICS.  423:1-61. 2023
  • Investigation of the two-cut phase region in the complex cubic ensemble of random matrices.  JOURNAL OF MATHEMATICAL PHYSICS.  63:063303-1-063303-40. 2022
  • The kissing polynomials and their Hankel determinants.  Transactions of Mathematics and its Applications.  6:1-66. 2022
  • Characteristic polynomials of complex random matrices and Painlevé transcendents.  INTERNATIONAL MATHEMATICS RESEARCH NOTICES.  2021:19000-19054. 2021
  • Global-phase portrait and large-degree asymptotics for the Kissing polynomials.  STUDIES IN APPLIED MATHEMATICS.  147:448-526. 2021
  • Ladder relations for a class of matrix valued orthogonal polynomials.  STUDIES IN APPLIED MATHEMATICS.  146:463-497. 2021
  • Large z Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane.  Symmetry Integrability and Geometry-Methods and Applications.  14:1-19. 2018
  • Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity.  Symmetry Integrability and Geometry-Methods and Applications.  14:1-43. 2018
  • Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials.  ADVANCES IN COMPUTATIONAL MATHEMATICS.  42:791-822. 2016
  • Painlevé I double scaling limit in the cubic random matrix model.  Random Matrices-Theory and Applications.  5. 2016
  • Asymptotic Behavior and Zero Distribution of Polynomials Orthogonal with Respect to Bessel Functions.  CONSTRUCTIVE APPROXIMATION.  43:153-196. 2016
  • Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  433:732-746. 2016
  • Asymptotic solvers for ordinary differential equations with multiple frequencies.  Science China-Mathematics.  58:2279-2300. 2015
  • Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval.  JOURNAL OF APPROXIMATION THEORY.  186:33-63. 2014
  • A Gaussian quadrature rule for oscillatory integrals on a bounded interval.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  34:883-901. 2014
  • Asymptotic solvers for second-order differential equation systems with multiple frequencies.  CALCOLO.  51:109-139. 2014
  • Strong and ratio asymptotics for Laguerre polynomials revisited.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  403:477-486. 2013
  • Topological expansion in the cubic random matrix model.  INTERNATIONAL MATHEMATICS RESEARCH NOTICES.  2013:2699-2755. 2013
  • Efficient computation of delay differential equations with highly oscillatory terms..  ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE.  46:1407-1420. 2012
  • Simulation of memristors in presence of high-frequency forcing function.  ELECTRONICS LETTERS.  48:684-686. 2012
  • Asymptotic solvers for oscillatory systems of differential equations.  Boletín de la Sociedad Española de Matemática Aplicada.  79-101. 2011
  • Asymptotic Zero Distribution of Complex Orthogonal Polynomials Associated with Gaussian Quadrature.  JOURNAL OF APPROXIMATION THEORY.  162:2202-2224. 2010
  • On Systems of Differential Equations with Extrinsic Oscillation.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  28:1345-1367. 2010
  • Analytical and Numerical Aspects of a Generalization of the Complementary Error Function.  APPLIED MATHEMATICS AND COMPUTATION.  216:3680-3693. 2010
  • A New Algorithm for Computing the Geronimus Transformation with Large Shifts.  NUMERICAL ALGORITHMS.  1:101-139. 2010
  • Computational Properties of Three-Term Recurrence Relations for Kummer Functions.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:1505-1510. 2010
  • On Second-Order Differential Equations with Highly Oscillatory Forcing Terms.  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES.  466:1809-1828. 2010
  • Complex Gaussian Quadrature of Oscillatory Integrals.  NUMERISCHE MATHEMATIK.  2:197-219. 2009
  • On Highly Oscillatory Problems Arising in Electronic Engineering.  ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE.  43:785-804. 2009
  • On Modified Asymptotic Series Involving Confuent Hypergeometric Functions.  ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS.  35:88-103. 2009
  • On Numerical Methods for Highly Oscillatory Problems in Circuit Simulation.  COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING.  28:1607-1618. 2009

• conference contributions 

  • Partition Function in the Complex Cubic Log-Gas Model 2020
  • Asymptotic analysis of polynomials orthogonal with respect to an oscillatory weight function 2014
  • Asymptotic analysis of the partition function in the cubic random matrix model 2014
  • Asymptotics of orthogonal polynomials with respect to oscillatory weights 2014
  • Función de partición en el modelo de matrices aleatorias con potencial cúbico 2014
  • Large degree asymptotics of polynomials orthogonal with respect to oscillatory weights 2014
  • Asymptotic Analysis of the Cubic Random Matrix Model 2013
  • Partition function in the Hermitian random matrix model with cubic potential 2013
  • Asymptotic analysis of complex Gaussian quadrature rules.  68-68. 2012
  • On polynomials orthogonal with respect to Bessel weight functions 2012
  • Partition function and free energy in the cubic random matrix model 2012
  • Analytical and Numerical Aspects of a Generalization of the Complementary Error Function 2011
  • Asymptotic Numerical Methods for Oscillatory Systems of Differential Equations 2011
  • Asymptotic Numerical Solvers for Oscillatory Systems of Differential Equations 2011
  • Numerical and Asymptotic Analysis of Oscillatory Systems of Differential Equations 2011
  • Orthogonal Polynomials for Complex Gaussian Quadrature.  43-43. 2011
  • Partition Function and Free Energy in the Cubic Random Matrix Model 2011
  • Topological Expansion in the Cubic Random Matrix Model 2011