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超Lévy过程的粒子的最大速度
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O211.6[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]浙江大学数学系,杭州 310027, [2]杭州电子科技大学应用数学与工程计算研究所,杭州 310018
  • 相关基金：国家自然科学基金资助项目（10571159）;教育部博士点专项基金资助项目（20060335032）
作者： 林正炎[1], 程宗毛[1,2]
关键词： 超Lévy过程, 连续模, HAUSDORFF维数, LéVY过程, 弘快轨道, BROWN运动, super-Lévy process, modulus ofcontinuity, Hausdorff dimension, Lévy process, a-fast path, Brownian motion
中文摘要：

引进了超Lévy过程，研究了在它的域（rarlge）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俨快轨道集的Hausdorff维数。

英文摘要：

Super-Lévy process was introduced. Maximal speed of all particles in the range and the support of a supper-Lévy process was studied. The state of historical super-Lévy process is a measure on the set of paths. The maximal speed of all particles was studied, during a given time period E, which rams out to be function of the packing dimension of E. The Hausdorffon of the set of a-fast paths in the support and the range of the historical super-Lévy process were calculated.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965