49 citations · 49 across the 5 of their papers we have counts for
6 papers
LU-type factorizations and Darboux transformations for continuous-time birth--death processes
José Arcia-Manoleskos, Manuel Domínguez de la Iglesia
We study LU-type factorizations of the infinitesimal generator of a possibly nonconservative birth--death process on , and characterize those for which the correspond…
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
Antonio J. Durán, Manuel D. De la Iglesia
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posit…
An urn model for the Jacobi-Piñeiro polynomials
F. Alberto Grünbaum, Manuel D. de la Iglesia
The list of physically motivated urn models that can be solved in terms of classical orthogonal polynomials is very small. It includes a model proposed by D. Bernoulli and further…
Absorbing-reflecting factorizations for birth-death chains on the integers and their Darboux transformations
Manuel D. de la Iglesia, Claudia Juarez
We consider a new way of factorizing the transition probability matrix of a discrete-time birth-death chain on the integers by means of an absorbing and a reflecting birth-death ch…
The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers
Manuel D. de la Iglesia, Claudia Juarez
We consider UL and LU stochastic factorizations of the transition probability matrix of a random walk on the integers, which is a doubly infinite tridiagonal stochastic Jacobi matr…
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
Manuel D. de la Iglesia
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The…