A dimension result for polar sets of Brownian path in n-spaces

African Journal of Mathematics and Computer Science Research

A. C. Okoroafor¹ 

关键词: Brownian motion;    Hausdorff dimension;    multifractal analysis;    polar sets;    occupation measure.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

Let T(x,r)denote the occupation measure of the ball of radius r centered at x for Brownian motion {Xr},0 < t < 1 in Rn , n > 3. We consider the setand show that for a = 0,h(r) = r2 (logr)λ, λ > 1. Moreover, E0 n Ea = øfor a > 0. We deduce that the Hausdorff dimension of E0 is 2 for n > 3

【 授权许可】

CC BY