Non-Archimedean stochastic processes on non-Archimedean manifolds

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Stochastic processes on manifolds over non-Archimedean fields and with transition measures having values in the field $\bf C$ of complex numbers are defined and investigated. The analogs of Markov, Poisson and Wiener processes are studied. For Poisson processes the non-Archimedean analog of the Lèvy theorem is proved. Stochastic antiderivational equations as well as pseudodifferential equations on manifolds are investigated.
Latex, 40 pages

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General Mathematics, 28C20 (Primary), 46S10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66064

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212296
 http://arxiv.org/abs/math/0212296

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arXiv