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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 510, Pages 211–224 (Mi znsl7203)  
This article is cited in 1 scientific paper (total in 1 paper)

On a probabilistic approximation of a group of unitary operators

M. V. Platonovaab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
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Abstract: We construct a probabilistic approximation of the Cauchy problem solution for a high-order Schrödinger equation with bounded potential in the form of expectations of functionals of a point random field.
Key words and phrases: evolution equations, Poisson random measures, Feynman–Kac formula.
Funding agency Grant number
Russian Science Foundation 22-21-00016
Received: 29.08.2022
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. V. Platonova, “On a probabilistic approximation of a group of unitary operators”, Probability and statistics. Part 32, Zap. Nauchn. Sem. POMI, 510, POMI, St. Petersburg, 2022, 211–224
Citation in format AMSBIB
\Bibitem{Pla22}
\by M.~V.~Platonova
\paper On a probabilistic approximation of a group of unitary operators
\inbook Probability and statistics. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 510
\pages 211--224
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7203}
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  • https://www.mathnet.ru/eng/znsl/v510/p211
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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