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

页码：618 / 628

页数：11

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