Some properties of a multifractional Brownian motion
In the paper, we study the existence of the local nondeterminism and the joint continuity of the local time of a multifractional Brownian motion, and we get upper and lower bounds of Hausdroff dimensions of level sets of a multifractional Brownian motion.
Year of publication: |
2007
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Authors: | Lin, Zhengyan ; Zheng, Jing |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 7, p. 687-692
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Publisher: |
Elsevier |
Keywords: | Hausdorff dimension Local nondeterminism Lever set Local time Multifractional Brownian motion |
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