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Maximal speed of particles in super-Lévy process

Maximal speed of particles in super-Lévy process
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摘要 We introduce a super-Lévy process and study maximal speed of all particles in the range and the support of the super-Lévy process. The state of historical super-Lévy process is a measure on the set of paths. We study the maximal speed of all particles during a given time period, which turns out to be a function of the packing dimension of the time period. We calculate the Hausdorff dimension of the set of a-fast paths in the support and the range of the historical super-Lévy process. We introduce a super-Lévy process and study maximal speed of all particles in the range and the support of the super-Lévy process. The state of historical super-Lévy process is a measure on the set of paths. We study the maximal speed of all particles during a given time period, which turns out to be a function of the packing dimension of the time period. We calculate the Hausdorff dimension of the set of a-fast paths in the support and the range of the historical super-Lévy process.
作者 林正炎 程宗毛
机构地区 Department of Mathematics Institute of Applied Mathematics and Engineering Computation
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第4期517-525,共9页 应用数学和力学（英文版）
基金 Project supported by the National Natural Science Foundation of China(No.10571159) the Ph.D.Programs Foundation of Ministry of Education of China(No.20060335032) and the Foundation of Hangzhou Dianzi University(No.KYS091506042)
关键词 super-Lévy process modulus of continuity Hausdorff dimension Lévy process a-fast path Brownian motion super-Lévy process, modulus of continuity, Hausdorff dimension, Lévy process, a-fast path, Brownian motion
分类号 O211.6 [理学—概率论与数理统计]
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参考文献12

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Applied Mathematics and Mechanics(English Edition)
2008年 第4期

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