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.
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.
出处
《应用数学和力学》
CSCD
北大核心
2008年第4期469-476,共8页
Applied Mathematics and Mechanics
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)
