On Hausdorff dimension of invariant measures arising from non-contractive iterated function systems

被引：0

作者：

Myjak J. ^{[1
,2
]}

Szarek T. ^{[3
,4
]}

机构：

[1] Dipartamento di Matematica Pura cd Applicata, Universitá di L'Aquila, 67100 L'Aquila, via Vetoio

[2] WMS AGH al., 30-059 Krakow

[3] Institute of Mathematics, Silesian University, 40-007 Katowice

[4] Department of Mathematics, Technical University of Rzeszów, 35-959 Rzeszów

来源：

Annali di Matematica Pura ed Applicata | 2002年 / 181卷 / 2期

关键词：

Hausdorff dimension; Invariant measure; Iterated Function System; Markov operator;

D O I：

10.1007/s102310100041

中图分类号：

学科分类号：

摘要：

Under rather general assumptions we give an upper and lower bound estimate of the Hausdorff dimension of the invariant probability measure for an iterated function systems acting on a Polish space.

引用

页码：223 / 237

页数：14

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