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
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
  • [1] Multifractal analysis of some multiple ergodic averages
    Fan, Ai-Hua
    Schmeling, Jorg
    Wu, Meng
    ADVANCES IN MATHEMATICS, 2016, 295 : 271 - 333
  • [2] Multifractal analysis of multiple ergodic averages
    Fan, Aihua
    Schmeling, Jorg
    Wu, Meng
    COMPTES RENDUS MATHEMATIQUE, 2011, 349 (17-18) : 961 - 964
  • [3] Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems
    Yin, Zheng
    Chen, Ercai
    Zhou, Xiaoyao
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2016, 36 : 2334 - 2350
  • [4] Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
    Fan, Aihua
    Liao, Lingmin
    Wu, Meng
    MATHEMATISCHE ZEITSCHRIFT, 2018, 290 (1-2) : 63 - 81
  • [5] Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
    Aihua Fan
    Lingmin Liao
    Meng Wu
    Mathematische Zeitschrift, 2018, 290 : 63 - 81
  • [6] Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
    Fan, AH
    Jiang, YP
    CHAOS, 1999, 9 (04) : 849 - 853
  • [7] Multifractal analysis of weighted ergodic averages
    Fan, Aihua
    ADVANCES IN MATHEMATICS, 2021, 377
  • [8] Multifractal Analysis for Lyapunov Exponents on Nonconformal Repellers
    Luis Barreira
    Katrin Gelfert
    Communications in Mathematical Physics, 2006, 267
  • [9] Multifractal analysis for Lyapunov exponents on nonconformal repellers
    Barreira, Luis
    Gelfert, Katrin
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 267 (02) : 393 - 418
  • [10] LYAPUNOV EXPONENTS FOR NON-ERGODIC MEROMORPHIC FUNCTIONS
    Kotus, Janina
    Balderas, Marco Montes De Oca
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 1609 - 1620
12345