Maximal Speed of the Particles of Super-Lévy Process
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摘要: 引进了超Lévy过程,研究了在它的域(range)和支撑中粒子的最大速度问题.历史的超Lévy过程的状态是一个轨道集的测度.研究了在给定的时间集E里全部粒子的最大速度,结果表明它是E的packing维数的函数.最后还计算了在历史的超Lévy过程的域和支撑中的a-快轨道集的Hausdorff维数.Abstract: Super-Lvy process was intr oduced.Maximal speed of all particles in ther ange and the support of a supper-Lvy process was studied.The state of historical super-Lvy process is a measure on the set of paths.The maximal speed of all particles was studied,during a given time period E, which turns out to be function of the packing dimension of E.The Hausdorff dimension of the set of a-fast paths in the support and the range of the historical super-Lvy process were calculated.
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Key words:
- super-Lvy process /
- modulus of continuity /
- Hausdo rffdimension /
- Lvy process /
- a-fast path /
- Brow nian motion
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