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SOME GEOMETRIC PROPERTIES OF BROWNIAN MOTION ON SIERPINSKI GASKET |
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| Authors: | Wu Jun and Xiao Yimin |
| Affiliation: | DepartmentofMathematics,WuhanUniversity,Wuhan430072,China |
| Abstract: | Let ${ X(t), t ge 0 }$ be Brownian motion on Sierpinski gasket. TheHausdorff and packing dimensions of the image of a compact set arestudied. The uniform Hausdorff and packing dimensions of the inverseimage are also discussed. |
| Keywords: | Brownian motion on Sierpinski gasket Hausdorff dimension Packing dimension Local time. |
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