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

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

2001-10-28

arxiv.org/abs/math/0110305v1

Mathematics

Classical Analysis and ODEs

34 pages

Scientific paper

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 L\`evy theorem is proved. Wide classes of stochastic processes are constructed.

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