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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 4, Pages 1091–1105
(Mi fpm615)
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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
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
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
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https://www.mathnet.ru/eng/fpm615 https://www.mathnet.ru/eng/fpm/v7/i4/p1091
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Abstract page: | 337 | Full-text PDF : | 120 | First page: | 1 |
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