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

@inproceedings{Ludkovsky2001StochasticPO,
  title={Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields.},
  author={Sergey Victor Ludkovsky and Andrei Khrennikov},
  year={2001}
}
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 ana-log 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. 

From This Paper

Topics from this paper.

Similar Papers

Loading similar papers…