MULTIFRACTAL ANALYSIS OF SOME MULTIPLE ERGODIC AVERAGES FOR THE SYSTEMS WITH NON-CONSTANT LYAPUNOV EXPONENTS

被引：0

作者：

Liao, Lingmin ^{[1
]}

Rams, Michal ^{[2
]}

机构：

[1] Univ Paris Est Creteil, CNRS, LAMA UMR 8050, 61 Ave Gen Gaulle, F-94010 Creteil, France

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

REAL ANALYSIS EXCHANGE | 2013年 / 39卷 / 01期

关键词：

Multifractal analysis; ergodic averages; Lyapunov exponents;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding {0,1}(N) of the attractor, we compute the Hausdorff dimension of the set of points with a given frequency of the pattern 11 in positions k, 2k.

引用

页码：1 / 14

页数：14

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