The Fractal Dimensions of the Level Sets of the Generalized Iterated Brownian Motion

被引：0
|
作者：
Changqing TONG [1 ]
Zhengyan LIN [2 ]
Jing ZHENG [1 ]
机构：
[1] Institute of applied mathematics,Hangzhou Dianzi University
[2] Department of Mathematics,Zhejiang
来源：
Acta Mathematicae Applicatae Sinica(English Series). | 2013年 / 29卷 / 03期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let{W1(t), t∈R+} and {W2(t), t∈R+} be two independent Brownian motions with W1(0) = W2(0) = 0. {H (t) = W1(|W2(t)|), t ∈R+} is called a generalized iterated Brownian motion. In this paper, the Hausdorff dimension and packing dimension of the level sets {t ∈[0, T ], H(t) = x} are established for any 0 < T ≤ 1.
引用
收藏
页数：6
相关论文
共 50 条
12345