Invariant Measure Associated with a Generalized Countable Iterated Function System

被引：17

作者：

Secelean, Nicolae Adrian ^{[1
]}

机构：

[1] Lucian Blaga Univ Sibiu, Dept Math, Sibiu 550012, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2014年 / 11卷 / 02期

关键词：

Countable iterated function system; generalized countable iterated function system; attractor; Hutchinson metric; invariant measure;

D O I：

10.1007/s00009-013-0300-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalized countable iterated function systems (GCIFS) are an extension of countable iterated function systems by considering contractions from X x X into X instead of contractions on the compact metric space X into itself. For a GCIFS endowed with a system of probabilities we associate an invariant and normalized Borel measure whose support is just the attractor of the respective GCIFS, extending the classical Hutchinson's construction.

引用

页码：361 / 372

页数：12

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