A variational principle for fractal dimensions

被引：11
|
作者：
Lasota, A [1 ]
机构：
[1] Silesian Univ, Inst Math, Polish Acad Sci, Inst Math, PL-40007 Katowice, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 03期
关键词：
dimension of measures; fractal dimension; iterated function systems;
D O I：
10.1016/j.na.2005.06.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new definition of the dimension of probability measures is introduced. It is related with the fractal dimension of sets by a variational principle. This principle is applied in the theory of iterated function systems. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：618 / 628
页数：11
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