Multifractal analysis of weak Gibbs measures for non-uniformly expanding C1 maps
From MaRDI portal
Publication:3074751
DOI10.1017/S0143385709000960zbMath1213.37052arXiv0806.0727MaRDI QIDQ3074751
Publication date: 10 February 2011
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.0727
Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)
Related Items (18)
Topological entropy of level sets of empirical measures for non-uniformly expanding maps ⋮ On the mixed multifractal formalism for vector-valued measures ⋮ Multifractal analysis of dimension spectrum in non-uniformly hyperbolic systems ⋮ The thermodynamic approach to multifractal analysis ⋮ Constrained ergodic optimization for asymptotically additive potentials ⋮ Weak Gibbs measures as Gibbs measures for asymptotically additive sequences ⋮ On the topological entropy of saturated sets for amenable group actions ⋮ Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮ Dimension of the repeller for a piecewise expanding affine map ⋮ Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line ⋮ Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ A joint multifractal analysis of vector valued non Gibbs measures ⋮ Slow and fast escape for open intermittent maps ⋮ Dimension theory for multimodal maps ⋮ Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches ⋮ On the effect of projections on the Billingsley dimensions
Cites Work
- Unnamed Item
- Multifractal decompositions of Moran fractals
- Multifractal analysis of weak Gibbs measures for intermittent systems
- Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages.
- Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps
- Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
- Large deviation for weak Gibbs measures and multifractal spectra
- Variational principles and mixed multifractal spectra
- Lyapunov minimizing measures for expanding maps of the circle
- The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval
- Geometry of limit sets for expansive Markov systems
- The singularity spectrumf(α) for cookie-cutters
- Some properties of absolutely continuous invariant measures on an interval
- A multifractal formalism for growth rates and applications to geometrically finite Kleinian groups
- Multifractal formalism for some parabolic maps
- Weak Gibbs measures for certain non-hyperbolic systems
- The Lyapunov spectrum of some parabolic systems
This page was built for publication: Multifractal analysis of weak Gibbs measures for non-uniformly expanding C1 maps
