ERGODIC PROPERTIES OF PIECEWISE-LINEAR MAPS ON FRACTAL REPELLERS

被引：24

作者：

TASAKI, S ^{[1
]}

SUCHANECKI, Z ^{[1
]}

ANTONIOU, I ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS,FAC SCI,B-1050 BRUSSELS,BELGIUM

来源：

PHYSICS LETTERS A | 1993年 / 179卷 / 02期

关键词：

D O I：

10.1016/0375-9601(93)90657-L

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a class of one-dimensional piecewise linear maps admitting fractal invariant sets and uncountably many invariant measures and show that they are ergodic (exact). A physical measure is selected as the invariant measure with maximum information dimension. We also briefly discuss the spectral decomposition of the Frobenius-Perron operator.

引用

页码：103 / 110

页数：8

共 40 条

[1] SPECTRAL DECOMPOSITION OF THE RENYI MAP [J].