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SOME GEOMETRIC PROPERTIES OF BROWNIAN MOTION ON SIERPINSKI GASKET |
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Citation: |
Wu Jun,Xiao Yimin.SOME GEOMETRIC PROPERTIES OF BROWNIAN MOTION ON SIERPINSKI GASKET[J].Chinese Annals of Mathematics B,1995,16(2):191~202 |
Page view: 1085
Net amount: 610 |
Authors: |
Wu Jun; Xiao Yimin |
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Abstract: |
Let $\{ X(t), t \ge 0 \}$ be Brownian motion on Sierpinski gasket. The
Hausdorff and packing dimensions of the image of a compact set are
studied. The uniform Hausdorff and packing dimensions of the inverse
image are also discussed. |
Keywords: |
Brownian motion on Sierpinski gasket, Hausdorff dimension,Packing dimension, Local time. |
Classification: |
60G17 |
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