Non-Archimedean stochastic processes on non-Archimedean manifolds

Details Non-Archimedean stochastic processes on non-Archimedean manifolds Non-Archimedean stochastic processes on non-Archimedean manifolds

2002-12-20

arxiv.org/abs/math/0212296v1

Mathematics

General Mathematics

Latex, 40 pages

Scientific paper

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 L\`evy theorem is proved. Stochastic antiderivational equations as well as pseudodifferential equations on manifolds are investigated.

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