【摘要】 讨论可加布朗运动样本轨道的重分形分析问题.利用构造上极限型集,集的乘积的Packing维数和Hausdorff维数关系的方法,分别得到其局部增量和沿坐标方向增量两种不同增量形式"快点"集的Packing维数结果.更多还原

【Abstract】 The multifractal analysis for the sample paths of additive Brownian motion is discussed in this paper.The Packing dimension of "fast point" sets determined by the local increment and by the incerment in the direction of coordinate for additive Brownian motion are obtained respectively by means of constructing a limsup random set and the relation between Packing dimension and Hausdorff dimension of the Product sets.更多还原