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The Fractal Structures of the Sample Path of a General Subordinator and the Random Re-orderings of the Cantor Set

The Fractal Structures of the Sample Path of a General Subordinator and the Random Re orderings of the Cantor Set
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摘要 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 set K(ω).X([0,1)) and K(ω) have the same exact Hausdorff measure function and the integal test of packing measure. 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 set K(ω).X([0,1)) and K(ω) have the same exact Hausdorff measure function and the integal test of packing measure.
出处 《Wuhan University Journal of Natural Sciences》 CAS 1997年第1期27-31,共5页 武汉大学学报(自然科学英文版)
关键词 Hausdorff measure packing measure SUBORDINATOR random re ordering of the Cantor set Hausdorff measure, packing measure, subordinator, random re ordering of the Cantor set
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