3 citations · 4 across the 5 of their papers we have counts for
5 papers
Decompositions of finitely additive Markov chains and invariant measures in discrete space
Alexander Zhdanok, Anna Khuruma
In this paper, we consider general Markov chains (MC), specified by the transition probability (kernel) , finitely additive in the second argument. Such MC are studied…
General Markov Chains: Cycles of Finitely Additive Measures and Classical Cycles of States
Alexander I. Zhdanok
General Markov chains in an arbitrary phase space are considered in the framework of the operator treatment. Markov operators continue from the space of countably additive measures…
Ergodicity conditions for general Markov chains in terms of invariant finitely additive measures
Alexander I. Zhdanok
We consider general Markov chains with discrete time in an arbitrary measurable (phase) space and homogeneous in time. Markov chains are defined by the classical transition functio…
Weak ergodic theorem for Markov chains without invariant countably additive measures
Alexander Zhdanok
In this paper, we study Markov chains (MC) on topological spaces within the framework of the operator approach. We extend the Markov operator from the space of countably additive m…
Dimension of the space of invariant finitely additive measures of general Markov chains and their ergodic properties
Alexander I. Zhdanok
General Markov chains with a countably additive transition probability in arbitrary phase space are considered. Markov operators extend from the space of countably additive measure…