Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields

dc.creatorLudkovsky, S.
dc.creatorKhrennikov, A.
dc.date2001-10-28
dc.date.accessioned2026-07-07T04:44:07Z
dc.date.available2026-07-07T04:44:07Z
dc.descriptionStochastic processes on topological vector spaces over non-Archimedean fields and with transition measures having values in non-Archimedean fields are defined and investigated. For this the non-Archimedean analog of the Kolmogorov theorem is proved. The analogos of Markov and Poisson processes are studied. For Poisson processes the corresponding Poisson measures are considered and the non-Archimedean analog of the Lèvy theorem is proved. Wide classes of stochastic processes are constructed.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0110305
dc.identifierhttp://arxiv.org/abs/math/0110305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62511
dc.subjectClassical Analysis and ODEs
dc.subject46S10 (Primary), 28C20 (Secondary)
dc.titleStochastic processes on non-Archimedean spaces with values in non-Archimedean fields
dc.typetext

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