What is it about?
The paper establishes a new criterion for recurrence or transience of Markov chains with infinitely countable set of states.
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Why is it important?
The paper solves an open problem formulated by Kai Lai Chung in his book published in 1960 [K. L. Chung, Markov Chains with Stationary Transition Probabilities. Springer-Verlag, Berlin, 1960] and provides an adequate solution for the most important case.
Perspectives
The obtained solution will enable us to reconsider the other work obtained by different authors in this area and extend their results
Dr Vyacheslav Abramov
Monash University
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This page is a summary of: A new criterion for recurrence of Markov chains with an infinitely countable set of states, Theory of Probability and Mathematical Statistics, May 2025, American Mathematical Society (AMS),
DOI: 10.1090/tpms/1224.
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