12 citations · 12 across the 5 of their papers we have counts for
9 papers
Exact solutions of open quantum Brownian motions on the real line for two-level systems
Manuel D. de la Iglesia, Carlos F. Lardizabal
We investigate open quantum Brownian motions as quantum analogues of classical diffusion processes under interaction with an external enviroment. Building upon the microscopic deri…
Matrix valued orthogonal polynomials related to SU, their algebras of differential operators and the corresponding curves
F. Alberto Grünbaum, Manuel D. De la Iglesia
We give two examples of algebras of differential operators associated to families of matrix valued orthogonal polynomials arising from representations of SU. The first one g…
Spectral analysis of bilateral birth-death processes: some new explicit examples
Manuel D. de la Iglesia
We consider the spectral analysis of several examples of bilateral birth-death processes and compute explicitly the spectral matrix and the corresponding orthogonal polynomials. We…
Quasi-birth-and-death processes and multivariate orthogonal polynomials
Lidia Fernández, Manuel D. de la Iglesia
The aim of this paper is to study some models of quasi-birth-and-death (QBD) processes arising from the theory of bivariate orthogonal polynomials. First we will see how to perform…
Bispectral Laguerre type polynomials
Antonio J. Durán, Manuel D. de la Iglesia
We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre polynomials. These Lague…
On difference operators for symmetric Krall-Hahn polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by multiplying the classical dis…
Stochastic Darboux transformations for quasi-birth-and-death processes and urn models
F. Alberto Grunbaum, Manuel D. de la Iglesia
We consider stochastic UL and LU block factorizations of the one-step transition probability matrix for a discrete-time quasi-birth-and-death process, namely a stochastic block tri…
Stochastic LU factorizations, Darboux transformations and urn models
F. Alberto Grünbaum, Manuel D. de la Iglesia
We consider UL (and LU) decompositions of the one-step transition probability matrix of a random walk with state space the nonnegative integers, with the condition that both upper…
Principal dynamical components
Manuel D. de la Iglesia, Esteban G. Tabak
A new procedure is proposed for the dimensional reduction of time series. Similarly to principal components, the procedure seeks a low-dimensional manifold that minimizes informati…