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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2021, Volume 25, Number 4, Pages 787–796
DOI: https://doi.org/10.14498/vsgtu1865
(Mi vsgtu1865)
 

Short Communication

Model of a stochastic process in the space of random joint events

A. A. Biryukov

Samara State Transport University, Samara, 443066, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: A model of the space of random joint events is being constructed. In space, along with the existence of a symmetric difference of joint events, a new postulate is introduced about the existence of a symmetric sum of random joint events. In the generated space, the stochastic equation of motion of the system and the expression for the probabilities of the system's transition between two events are modeled. The transition probability depends on the probabilities of compatibility of two, three, etc. events. The equation is equivalent to the Markov chain equation for incompatible events. The equation is equivalent to the equation of quantum theory if the events are compatible only in pairs.
Keywords: space of joint events, model of a symmetric sum of random joint events, model of a stochastic process in spatial joint events, transition probabilities, quantum mechanics.
Received: May 14, 2021
Revised: August 3, 2021
Accepted: August 18, 2021
First online: November 5, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145
MSC: 60A05, 60G07
Language: Russian
Citation: A. A. Biryukov, “Model of a stochastic process in the space of random joint events”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021), 787–796
Citation in format AMSBIB
\Bibitem{Bir21}
\by A.~A.~Biryukov
\paper Model of a stochastic process in the space of random joint events
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2021
\vol 25
\issue 4
\pages 787--796
\mathnet{http://mi.mathnet.ru/vsgtu1865}
\crossref{https://doi.org/10.14498/vsgtu1865}
\zmath{https://zbmath.org/?q=an:7499973}
\elib{https://elibrary.ru/item.asp?id=47942929}
\edn{https://elibrary.ru/HCEUHH}
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :124
    References:36
     
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