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.
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页码：1 / 14
页数：14
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