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

S. Ludkovsky·A. Khrennikov
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Abstract

Stochastic 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.

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BibTeXRIS

S. Ludkovsky, A. Khrennikov. 2001-10-28. Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields. https://arxiv.org/abs/math/0110305

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