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| ON THE MULTIPLE TIME SET OF BROWNIAN MOTIONS |
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Citation： |
Zhou Xianyin.ON THE MULTIPLE TIME SET OF BROWNIAN MOTIONS[J].Chinese Annals of Mathematics B,1994,15(2):225~234 |
| Page view： 947
Net amount： 588 |
Authors： |
Zhou Xianyin; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
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| Abstract： |
Let $S_d^p$ be the $p$-multiple time set of the Brownian motion
in $d$ dimensions. In this paper, the Hausdorff measure function
for $S_3^2$ is proved to be $\vp_3^{(2)}=t^{1/2}(\log|\log
t|)^{3/2}$, and the Hausdorff measuure problem for $S_2^p$ is
also discussed. As a result, a conjecture suggested by J. Rosen
is partially proved. |
Keywords： |
Hausdorff measure, Intersection local time,
Multiple time set,Brownian motion. |
Classification： |
60G17, 60j65 |
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