28 citations · 120 across the 26 of their papers we have counts for
27 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…
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 ac…
Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble
José Vinaixa, Begoña Mula, Alfredo Deaño +2
We characterize the long-term state of the 1D Dirac vacuum stirred by an impenetrable object, modeled as the ground state of a finite free-fermionic chain dynamically perturbed by…
On Airy Solutions of P and Complex Cubic Ensemble of Random Matrices, I
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We show that the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions, as well as associated solutions of…
Non Abelian Toda-type equations and matrix valued orthogonal polynomials
Alfredo Deaño, Lucía 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 the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I
Alfredo Deaño
In this paper, we revisit large variable asymptotic expansions of tronquée solutions of the Painlevé I equation, obtained via the Riemann-Hilbert approach and the method of steepes…
Asymptotics of matrix valued orthogonal polynomials on
Alfredo Deaño, Arno B. J. Kuijlaars, Pablo Román
We analyze the large degree asymptotic behavior of matrix valued orthogonal polynomials (MVOPs), with a weight that consists of a Jacobi scalar factor and a matrix part. Using the…
Investigation of the two-cut phase region in the complex cubic ensemble of random matrices
Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño +1
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential where is a complex parameter. As proven i…
Global Phase Portrait and Large Degree Asymptotics for the Kissing Polynomials
Ahmad Barhoumi, Andrew F. Celsus, Alfredo Deaño
We study a family of monic orthogonal polynomials which are orthogonal with respect to the varying, complex valued weight function, , over the interval , where $…
Characteristic polynomials of complex random matrices and Painlevé transcendents
Alfredo Deaño, Nick Simm
We study expectations of powers and correlation functions for characteristic polynomials of non-Hermitian random matrices. For the -point and -point correlation…
Ladder relations for a class of matrix valued orthogonal polynomials
Alfredo Deaño, Bruno Eijsvoogel, Pablo Román
Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…
Large Asymptotics for Special Function Solutions of Painlevé II in the Complex Plane
Alfredo Deaño
In this paper we obtain large asymptotic expansions in the complex plane for the tau function corresponding to special function solutions of the Painlevé II differential equati…
Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
Christophe Charlier, Alfredo Deaño
We study Hankel determinants constructed with moments of a Hermite weight with a Fisher-Hartwig singularity on the real line. We consider the case when the singularity…
On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials
Alfredo Deaño, Nick Simm
In this paper, we compute the probability that an matrix from the generalised Gaussian Unitary Ensemble (gGUE) is positive definite, extending a previous result of Dea…
Topological Expansion in the Complex Cubic Log-Gas Model. One-Cut Case
Pavel M. Bleher, Alfredo Deaño, Maxim Yattselev
We prove the topological expansion for the cubic log-gas partition function \[ Z_N(t)= \int_Γ\cdots\int_Γ\prod_{1\leq j<k\leq N}(z_j-z_k)^2 \prod_{k=1}^Ne^{-N\left(-\frac{z^3}{3}+t…
Asymptotic solvers for ordinary differential equations with multiple frequencies
Marissa Condon, Alfredo Deano, Jing Gao +1
We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We de…
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Alfredo Deaño, Edmundo J. Huertas, Pablo Román
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \[ \frac{1}{x-c}x^{α}e^{-x}dx+Nδ(x-…
The kissing polynomials and their Hankel determinants
Andrew F. Celsus, Alfredo Deaño, Daan Huybrechs +1
In this paper we investigate algebraic, differential and asymptotic properties of polynomials that are orthogonal with respect to the complex oscillatory weight $w(x)=e^{i…
Construction and implementation of asymptotic expansions for Jacobi--type orthogonal polynomials
Alfredo Deaño, Daan Huybrechs, Peter Opsomer
We are interested in the asymptotic behavior of orthogonal polynomials of the generalized Jacobi type as their degree goes to . These are defined on the interval $[-1,1…
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions
Alfredo Deaño, Arno B. J. Kuijlaars, Pablo Román
We consider polynomials orthogonal with respect to the weight on , where is the Bessel function of order . Asheim and Huybrechs considered these po…
Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval
Alfredo Deaño
We consider polynomials that are orthogonal with respect to the oscillatory weight on , where is a real parameter. A first analysis of $p_n^…
Painlevé I double scaling limit in the cubic random matrix model
Pavel M. Bleher, Alfredo Deaño
We obtain the double scaling asymptotic behavior of the recurrence coefficients and the partition function at the critical point of the Hermitian random matrix model wi…
Strong and ratio asymptotics for Laguerre polynomials revisited
Alfredo Deaño, Edmundo J. Huertas, Francisco Marcellán
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plane. The leading behavior is well known from Perron and Mehler-Heine formulas, but…