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The fractal structures of the sample path of a general subordinator and the random re-orderings of the Cantor set 总被引:1,自引:0,他引:1
Hu Xiaoyu 《武汉大学学报:自然科学英文版》1997,2(1):25-29
In this paper we have found a general subordinator,X, whose range up to time 1,X([0, 1)), has similar structure as random re-orderings of the Cantor setK(ω).X([0, 1)) andK(ω) have the same exact Hausdorff measure function and the integal test of packing measure.
Supported by the National Natural Science Foundation, the Excellent Young Faculty Foundation of the State Education Commission
of China and the Foundation for the Scholars Coming Back from Abroad
Hu Xiaoyu: born in Apr. 1964, Professor 相似文献
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Hu Xiao-yu 《武汉大学学报:自然科学英文版》2000,5(3):253-256
We introduce the results on the multifractal structure of the occupation measures of a Brownian Motion, a stable process,
a general subordinator and a stochastic process derived from random reordering of the Cantor set. We also introduced an interesting
and powerful technique to investigate the multifractal spectrum.
Foundation item: Supported by the National Natural Science Foundation of China
Biography: Hu Xiao-yu (1964-), female, Professor, research interest: probability theory, random fractals. 相似文献
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Hu Xiao-yu 《武汉大学学报:自然科学英文版》2000,5(3)
We introduced the results on the multifractal structure of the occupation measures of a Brownian Motion, a stable process, a general subordinator and a stochastic process derived from random reordering of the Cantor set. We also introduced an interesting and powerful technique to investigate the multifractal spectrum. 相似文献
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Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity
of the sets. In this paper, we give some results which can be easily used to examine the polarity of the sets whenX
t belongs to a special class of Levy processes. We also give a result about polar functions of symmetric stable processes.
Biography: Wu Chuan-ju(1974-), Ph. D candidate, research direction: theory and application of stochastic processes. 相似文献
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