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.
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
\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}
Citation in format AMSBIB
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