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1997•Wuhan University Journal of Natural SciencesRequires access

The fractal structures of the sample path of a general subordinator and the random re-orderings of the Cantor set

Xiao‐Yu Hu

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Subordinator, Cantor set, Mathematics, Hausdorff measure, Measure (data warehouse), Fractal, Hausdorff space, Range (aeronautics)

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