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Uspekhi Fizicheskikh Nauk, 2024, Volume 194, Number 10, Pages 1118–1127
DOI: https://doi.org/10.3367/UFNr.2024.08.039738 (Mi ufn15912) 		 
METHODOLOGICAL NOTES

On R L Stratonovich's formula for transition from dynamic to probabilistic measurements and its connection with operations on distribution functions of random variables

M. Yu. Romanovskyabc

a PE Science and Innovation, Moscow
b ANO National Center for Physics and Mathematics, Sarov
c Pirogov Russian National Research Medical University, Moscow
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DOI: https://doi.org/10.3367/UFNr.2024.08.039738
Abstract: The applications of R L Stratonovich's formula [1] for the exact transition from dynamic measurements to probabilistic or thermodynamic measurements are considered. The connection of this formula with known expressions for operations on probability density functions of random variables is given. The application of the formula to the problem of determining the observed physical parameters—fields, potentials, moments—produced by (stochastically moving) charged particles of different multipolar types is demonstrated.
Received: June 4, 2024
Revised: August 8, 2024
Accepted: August 10, 2024
English version:
Physics–Uspekhi, 2024, Volume 67, Issue 10, Pages 1056–1064
DOI: https://doi.org/10.3367/UFNe.2024.08.039738
Bibliographic databases:
Document Type: Article
PACS: 02.50.-r, 05.20.-y, 41.20.-q
Language: Russian
Citation: M. Yu. Romanovsky, “On R L Stratonovich's formula for transition from dynamic to probabilistic measurements and its connection with operations on distribution functions of random variables”, UFN, 194:10 (2024), 1118–1127; Phys. Usp., 67:10 (2024), 1056–1064
Citation in format AMSBIB
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