6 citations · 8 across the 5 of their papers we have counts for
6 papers
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…