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PRODUCT FRACTAL SETS DETERMINED BY STABLE PROCESSES
Published online by Cambridge University Press: 26 February 2009
Abstract
Let Xi be transient βi-stable processes on ℝdi, i=1,2. Assume further that X1 and X2 are independent. We shall find the exact Hausdorff measure function for the product sets R1(1)×R2(1), where . The result of Hu generalizes [Some fractal sets determined by stable processes, Probab. Theory Related Fields100 (1994), 205–225].
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- Research Article
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- Copyright © Australian Mathematical Society 2009
Footnotes
Research supported by NSFC Grant 10601047 and 2008XNM06.