值在非阿基米德域中的非阿基米德空间上的随机过程
Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields
摘要：
定义并研究了非阿基米德域上的拓扑向量空间上的随机过程，其转移测度的值在非阿基米德域上。对于这一非阿基米德模拟的Kolmogorov定理证明。研究了马氏过程和泊松过程的类似过程。对于Poisson过程，考虑了相应的Poisson测度，证明了Lèvy定理的非阿基米德类比。广泛的类随机过程的构造。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
