Some fractal sets determined by stable processes |
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| Authors: | Xiaoyu Hu |
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| Affiliation: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA |
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| Abstract: | Summary LetYi be independent stable subordinators in ( ,  ,P) with indices 0< i<1 andRi are the ranges ofYi,i=1, 2. We are able to find the exact Hausdorff measure and packing measure results for the product setsR1×R2, and whenever 1+2 1/2, we deduce results for the vector sumR1 R2={x+y:x R1,yR2}. |
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| Keywords: | 60G17 |
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