Dimension Properties of Sample Paths of Self-Similar Processes

Authors
Yimin, Xiao Huonan, Lin
Citation
Yimin, Xiao et Huonan, Lin, Dimension Properties of Sample Paths of Self-Similar Processes, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 10(3), 1994, pp. 289-300
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
10
Issue
3
Year of publication
1994
Pages
289 - 300
Database
ACNP
SICI code
Abstract
The Hausdorff dimensions of the image and the graph of random fields are given under general conditions. The results can be used to a wider class of self-similar random fields and processes, including Brownian motion, Brownian sheet, fractional Brownian motion, processes with stable or (., .)-fractional stable components.