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On the ergodic principle for Markov and quadratic Stochastic Processes and its relations

Nasir GanikhodjaevDepartment of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, 700174 Tashkent, UzbekistanHasan AkınDepartment of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa 63200, TurkeyFarrukh MukhamedovDepartment of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, 700174 Tashkent, Uzbekistan
ArXiv.orgrepository2005en
ABI

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In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.

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