Email this article Model of a stochastic process in the space of random joint events
- Authors: Biryukov A.A.1
-
Affiliations:
- Samara State Transport University
- Issue: Vol 25, No 4 (2021)
- Pages: 787-796
- Section: Short Communications
- URL: https://ogarev-online.ru/1991-8615/article/view/72108
- DOI: https://doi.org/10.14498/vsgtu1865
- ID: 72108
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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.
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##article.viewOnOriginalSite##About the authors
Alexandr A. Biryukov
Samara State Transport University
Author for correspondence.
Email: biryukov_1@mail.ru
ORCID iD: 0000-0003-3955-1726
SPIN-code: 8103-9438
Scopus Author ID: 7006918751
http://www.mathnet.ru/person25619
Cand. Phys. & Math. Sci.; Professor; Dept. of Natural Sciences
2 V, Svobody st., Samara, 443066, Russian FederationReferences
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