Multifractal analysis of non-uniformly hyperbolic systems

被引：0
|
作者：
Anders Johansson
Thomas M. Jordan
Anders Öberg
Mark Pollicott
机构：
[1] University of Gävle,Divsion of Mathematics and Statistics
[2] University of Bristol,Department of Mathematics
[3] Uppsala University,Department of Mathematics
[4] University of Warwick,Mathematics Institute
来源：
Israel Journal of Mathematics | 2010年 / 177卷
关键词：
Lyapunov Exponent; Invariant Measure; Ergodic Theorem; Topological Entropy; Iterate Function System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.
引用
收藏
页码：125 / 144
页数：19
相关论文
共 50 条
  • [31] Invariant pre-foliations for non-resonant non-uniformly hyperbolic systems
    Fontich, E
    de la Llave, R
    Martín, P
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) : 1317 - 1345
  • [32] Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems
    Zou, Rui
    Cao, Yongluo
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (02) : 674 - 704
  • [33] A Livšic Theorem for Matrix Cocycles Over Non-uniformly Hyperbolic Systems
    Lucas Backes
    Mauricio Poletti
    Journal of Dynamics and Differential Equations, 2019, 31 : 1825 - 1838
  • [34] A note on Borel-Cantelli lemmas for non-uniformly hyperbolic dynamical systems
    Haydn, Nicolai
    Nicol, Matthew
    Persson, Tomas
    Vaienti, Sandro
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2013, 33 : 475 - 498
  • [35] APPROXIMATION PROPERTIES ON INVARIANT MEASURE AND OSELEDEC SPLITTING IN NON-UNIFORMLY HYPERBOLIC SYSTEMS
    Liang, Chao
    Liu, Geng
    Sun, Wenxiang
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (03) : 1543 - 1579
  • [36] Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
    BACKES, L. U. C. A. S.
    POLETTI, M. A. U. R. I. C. I. O.
    VARANDAS, P. A. U. L. O.
    LIMA, Y. U. R. I.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (11) : 2947 - 2969
  • [37] Multidimensional local central limit theorem of some non-uniformly hyperbolic systems
    Hong Qiang Xia
    Acta Mathematica Sinica, English Series, 2009, 25 : 565 - 580
  • [38] Existence of a Sinai-Ruelle-Bowen-measure for non-uniformly hyperbolic systems
    Leplaideur, R
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (10): : 1217 - 1220
  • [39] Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems
    Holland, Mark
    Nicol, Matthew
    STOCHASTICS AND DYNAMICS, 2015, 15 (04)
  • [40] Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems
    Chazottes, J. -R.
    Collet, P.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2013, 33 : 49 - 80
12345