Dimension properties of sample paths of self-similar processes |
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Authors: | Xiao Yimin Lin Huonan |
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Institution: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, China;(2) Department of Mathematics, Fujian Normal University, 350007 Fuzhou, China |
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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 (α, β)-fractional stable components.
Supported by the National Natural Science Foundation of China |
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Keywords: | |
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