Ultrametric random field.
Ultrametric random field.
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超测量随机场。
DOI：
10.1142/s0219025706002317
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
S. Kozyrev
中科院分区：
文献类型：
--
作者：
A. Khrennikov;S. Kozyrev
引入一般超距离空间上的高斯随机场作为伪微分随机方程的解。借助于超度量空间上的小波分析，计算了引入的随机场的协变。引入了描述不同超度球对随机场贡献的独立性的超度量马尔可夫性的概念。我们证明了所研究的随机场满足这一性质。
Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.