Stochastic processes on non-Archimedean Banach spaces

Non-Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non-Archimedean analog of the Itô formula is proved.

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Main Author: S. V. Ludkovsky
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203108149
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author S. V. Ludkovsky
author_facet S. V. Ludkovsky
author_sort S. V. Ludkovsky
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description Non-Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non-Archimedean analog of the Itô formula is proved.
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1687-0425
language English
publishDate 2003-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e8db5dc0d5ee4f2d99e083975d6d92422025-08-20T03:21:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003211341136310.1155/S0161171203108149Stochastic processes on non-Archimedean Banach spacesS. V. Ludkovsky0Theoretical Department, Institute of General Physics, 38 Vavilov Street, Moscow 119991 GSP-1, RussiaNon-Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non-Archimedean analog of the Itô formula is proved.http://dx.doi.org/10.1155/S0161171203108149
spellingShingle S. V. Ludkovsky
Stochastic processes on non-Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences
title Stochastic processes on non-Archimedean Banach spaces
title_full Stochastic processes on non-Archimedean Banach spaces
title_fullStr Stochastic processes on non-Archimedean Banach spaces
title_full_unstemmed Stochastic processes on non-Archimedean Banach spaces
title_short Stochastic processes on non-Archimedean Banach spaces
title_sort stochastic processes on non archimedean banach spaces
url http://dx.doi.org/10.1155/S0161171203108149
work_keys_str_mv AT svludkovsky stochasticprocessesonnonarchimedeanbanachspaces