20 citations · 41 across the 11 of their papers we have counts for
14 papers
Darboux transformations of linear birth-death processes
José Arcia-Manoleskos, Manuel Domínguez de la Iglesia
In a previous paper we characterized the lower-upper (LU) and upper-lower (UL) factorizations of the infinitesimal generator of a possibly nonconservative birth-death process whose…
One-dimensional Continuous-Time Quantum Markov Chains: qubit probabilities and measures
Manuel D. De la Iglesia, Carlos F. Lardizabal
Quantum Markov chains (QMCs) are positive maps on a trace-class space describing open quantum dynamics on graphs. Such objects have a statistical resemblance with classical random…
QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models
Lidia Fernández, Manuel D. de la Iglesia
We study a family of quasi-birth-and-death (QBD) processes associated with the so-called first family of Jacobi-Koornwinder bivariate polynomials. These polynomials are orthogonal…
Birth-death chains on a spider: spectral analysis and reflecting-absorbing factorization
Manuel D. de la Iglesia, Claudia Juarez
We consider discrete-time birth-death chains on a spider, i.e. a graph consisting of discrete half lines on the plane that are joined at the origin. This process can be identif…
Quantum Markov chains on the line: matrix orthogonal polynomials, spectral measures and their statistics
Manuel D. de la Iglesia, Carlos F. Lardizabal, Newton Loebens
Inspired by the classical spectral analysis of birth-death chains using orthogonal polynomials, we study an analogous set of constructions in the context of open quantum dynamics a…
The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
Mattia Cafasso, Manuel D. de la Iglesia
Consider the Laguerre polynomials and deform them by the introduction in the measure of an exponential singularity at zero. In [Chen Y., Its A., J. Approx. Theory 162 (2010), 270-2…
Some bivariate stochastic models arising from group representation theory
Manuel D. de la Iglesia, Pablo Román
The aim of this paper is to study some continuous-time bivariate Markov processes arising from group representation theory. The first component (level) can be either discrete (quas…
Differential equations for discrete Jacobi-Sobolev orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Jacobi-Sobolev bilinear form with mass point at and/or . In…
Constructing Krall-Hahn orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
Given a sequence of polynomials , an algebra of operators acting in the linear space of polynomials and an operator with …
Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre-Sobolev bilinear form with mass point at zero. In particular…
Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk
Antonio J. Durán, Manuel D. de la Iglesia
Given a sequence of polynomials , an algebra of operators acting in the linear space of polynomials and an operator with …
Non-commutative Painleve' equations and Hermite-type matrix orthogonal polynomials
Mattia Cafasso, Manuel D. de la Iglesia
We study double integral representations of Christoffel-Darboux kernels associated with two examples of Hermite-type matrix orthogonal polynomials. We show that the Fredholm determ…
A note on the invariant distribution of a quasi-birth-and-death process
Manuel D. de la Iglesia
The aim of this paper is to give an explicit formula of the invariant distribution of a quasi-birth-and-death process in terms of the block entries of the transition probability ma…
Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions
Antonio J. Duran, Manuel D. de la Iglesia
The aim of this paper is to bring into the picture a new phenomenon in the theory of orthogonal matrix polynomials satisfying second order differential equations. The last few year…