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On Obtaining Sharp Bounds of the Rate of Convergence for a Class of Continuous-Time Markov Chains

We study inhomogeneous continuous-time weakly ergodic Markov chains with a finite state space. We introduce the notion of a Markov chain with the regular structure of an infinitesimal matrix and study the sharp upper bounds on the rate of convergence for such class of Markov chains.

preprint2020arXivOpen access

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