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math.PR2026
Nonnegativity of the second largest eigenvalue of tridiagonal stochastic matrices
Brando Vagenende, Brecht Verbeken, Marie-Anne Guerry
The spectral study of nonnegative and more specifically stochastic matrices is an important topic in matrix theory. In this paper, we prove a conjecture, formulated by Ran and Teng…
math.PR2023
State Re-union Maintainability for Semi-Markov Models in Manpower Planning
Brecht Verbeken, Marie-Anne Guerry
In previous research the importance of both Markov and semi-Markov models in manpower planning is highlighted. Maintainability of population structures for different types of perso…
math.PR2023
The Markov chain embedding problem in a low jump frequency context
Philippe Carette, Marie-Anne Guerry
We consider the problem of finding the transition rates of a continuous-time homogeneous Markov chain under the empirical condition that the state changes at most once during a tim…