20 citations · 41 across the 11 of their papers we have counts for
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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…
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…