Maximal Speed of the Particles of Super-Lévy Process

LIN Zheng-yan; CHENG Zong-mao

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LIN Zheng-yan, CHENG Zong-mao. Maximal Speed of the Particles of Super-Lévy Process[J]. Applied Mathematics and Mechanics, 2008, 29(4): 469-476.

Citation:

LIN Zheng-yan, CHENG Zong-mao. Maximal Speed of the Particles of Super-Lévy Process[J]. Applied Mathematics and Mechanics, 2008, 29(4): 469-476.

Citation:

LIN Zheng-yan, CHENG Zong-mao. Maximal Speed of the Particles of Super-Lévy Process[J]. Applied Mathematics and Mechanics, 2008, 29(4): 469-476.

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Maximal Speed of the Particles of Super-Lévy Process

LIN Zheng-yan¹,
CHENG Zong-mao^1,2

1.
Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2007-02-01
Rev Recd Date: 2008-02-25
Publish Date: 2008-04-15

Abstract

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.
- super-Lvy process,
- modulus of continuity,
- Hausdo rffdimension,
- Lvy process,
- a-fast path,
- Brow nian motion

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References(16)

References

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