Ultrametric random field
Probability
2011-05-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0603584,
title = {Ultrametric random field},
author = {A. Yu. Khrennikov and S. V. Kozyrev},
journal= {arXiv preprint arXiv:math/0603584},
year = {2011}
}
Comments
15 pages