%0 Journal Article
%T Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields
%A S. Ludkovsky
%A A. Khrennikov
%J Mathematics
%D 2001
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0110305v1