摘要
本文研究了Sierpinskigasket上Brown运动{X(t),t≥0}与Holder连续函数的关系,得到了X(t)的不动点集及水平集的Hausdorf维数,并说明了X(t)没有极函数。
In this paper, we study the relation between Brownian motion{X(t),t≥0} on the Sierpinski gasket and Hlder continuous functions, obtain Hausdorff dimension of the fixed point set and level set of X(t) and explain why X(t) does not possess polar functions.
基金
博士后基金