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math.PR2021
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…
math-ph2021★ 6 cited
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…