Equidistribution and Brownian motion on the Sierpiński gasket

被引：0
|
作者：
Peter J. Grabner
Robert F. Tichy
机构：
[1] Technische Universität Graz,Institut für Mathematik
来源：
Monatshefte für Mathematik | 1998年 / 125卷
关键词：
60B99; 11K06; diffusion processes; fractals; discrepancy; uniform distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce several concepts of discrepancy for sequences on the Sierpiński gasket. Furthermore a law of iterated logarithm for the discrepancy of trajectories of Brownian motion is proved. The main tools for this result are regularity properties of the heat kernel on the Sierpiński gasket. Some of the results can be generalized to arbitrary nested fractals in the sense of T. Lindstrøm.
引用
收藏
页码：147 / 164
页数：17
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