SOME GEOMETRIC PROPERTIES OF BROWNIAN MOTION ON SIERPINSKI GASKET

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
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Authors:

Wu Jun; Xiao Yimin
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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