Maqola

On the ergodic principle for Markov processes associated with quantum quadratic stochastic processes

Farrukh MukhamedovRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, Uzbekistan

Russian Mathematical Surveysjournal2002en

ABI

Annotatsiya

In [1] the non-stationaryMarkov process generated by a quantum quadratic stochastic process (QQSP) was defined, and it was noted that if the QQSP satisfies the ergodic principle, then so does the Markov process. In the present article we use a decomposition of a QQSP (see [2]) to prove that the converse is also true, that is, if the Markov process satisfies the ergodic principle, then so does the corresponding QQSP.

Mavzular

Advanced Queuing Theory Analysis Advanced Thermodynamics and Statistical Mechanics Stochastic processes and financial applications

Identifikatorlar

DOI: 10.1070/rm2002v057n06abeh000588

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