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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 4, Pages 1091–1105 (Mi fpm615)  

This article is cited in 2 scientific papers (total in 2 papers)

Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds

S. V. Lyudkovskii

General Physics Institute named after A. M. Prokhorov, Russian Academy of Sciences
Full-text PDF (778 kB) Citations (2)
Abstract: The article is devoted to stochastic processes on infinite dimensional topological groups that do not satisfy the Campbell–Hausdorff formula even locally. In the cases of real and complex manifolds the classical stochastic analysis is used, but in the non-Archimedean case the corresponding stochastic antiderivations and antiderivational equations are developed and investigated. For real-valued transition probabilities of random processes the corresponding regular strongly continuous unitary representations are constructed and their topological irreducibility is analysed.
Received: 01.11.2001
Bibliographic databases:
UDC: 512.625.5+512.81+517.98
Language: Russian
Citation: S. V. Lyudkovskii, “Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds”, Fundam. Prikl. Mat., 7:4 (2001), 1091–1105
Citation in format AMSBIB
\Bibitem{Lud01}
\by S.~V.~Lyudkovskii
\paper Stochastic processes on groups of diffeomorphisms and loops of real, complex and non-Archimedean manifolds
\jour Fundam. Prikl. Mat.
\yr 2001
\vol 7
\issue 4
\pages 1091--1105
\mathnet{http://mi.mathnet.ru/fpm615}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1896000}
\zmath{https://zbmath.org/?q=an:1046.60053}
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  • https://www.mathnet.ru/eng/fpm615
  • https://www.mathnet.ru/eng/fpm/v7/i4/p1091
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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