On Series of -Equivalent Tuples in Markov Chains

Let be an irreducible Markov chain with state set and be a permutation group on the set . We prove limit theorems for the number of series of -equivalent -tuples that start before time inclusive. These results continue the series of our works within the research direction initiated in the 1970s by A...

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Bibliographic Details
Main Authors: Mikhailov, V. G., Shoitov, A. M., Volgin, A. V.
Format: Conference Proceeding
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Equivalence
Markov chains
Mathematics
Mathematics and Statistics
Permutations
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Summary:Let be an irreducible Markov chain with state set and be a permutation group on the set . We prove limit theorems for the number of series of -equivalent -tuples that start before time inclusive. These results continue the series of our works within the research direction initiated in the 1970s by A. M. Zubkov and other authors.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543822010187