HAUSDORFF DIMENSION OF THE IRREGULAR SET IN NON-UNIFORMLY HYPERBOLIC SYSTEMS
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Publication:5363866
DOI10.1142/S0218348X1750027XzbMath1371.28006MaRDI QIDQ5363866
Publication date: 2 October 2017
Published in: Fractals (Search for Journal in Brave)
Related Items (2)
THE EXCEPTIONAL SETS ON THE RUN-LENGTH FUNCTION OF β-EXPANSIONS ⋮ Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems
Cites Work
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- Multifractal analysis of non-uniformly hyperbolic systems
- Ergodic limits on the conformal repellers
- The pressure function for products of non-negative matrices.
- Localized asymptotic behavior for almost additive potentials
- Multifractal analysis for Lyapunov exponents on nonconformal repellers
- Almost additive multifractal analysis
- Lyapunov spectrum of asymptotically sub-additive potentials
- A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
- Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages.
- Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to diophantine approximation
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Lyapunov spectrum for multimodal maps
- Irregular sets, the $𝛽$-transformation and the almost specification property
- Invariant measures of full dimension for some expanding maps
- RECURRENCE, DIMENSION AND ENTROPY
- The irregular set for maps with the specification property has full topological pressure
- Geometry of limit sets for expansive Markov systems
- On natural invariant measures on generalised iterated function systems
- The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
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