Weak Gibbs measures as Gibbs measures for asymptotically additive sequences
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Publication:2957803
DOI10.1090/proc/13311zbMath1381.37043arXiv1505.00977OpenAlexW2963932612MaRDI QIDQ2957803
Publication date: 30 January 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.00977
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
Constrained ergodic optimization for asymptotically additive potentials ⋮ Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent
Cites Work
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- Multifractal analysis of dimension spectrum in non-uniformly hyperbolic systems
- The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials
- Equilibrium states for factor maps between subshifts
- Thermodynamic formalism and applications to dimension theory
- Pressures for asymptotically sub-additive potentials under a mistake function
- Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures
- The thermodynamic formalism for almost-additive sequences
- Multifractal analysis for Lyapunov exponents on nonconformal repellers
- The thermodynamic formalism for sub-additive potentials
- Dimension and recurrence in hyperbolic dynamics
- Lyapunov spectrum of asymptotically sub-additive potentials
- Multifractal analysis of weak Gibbs measures for intermittent systems
- Weak Gibbs measures for intermittent systems and weakly Gibbsian states in statistical mechanics
- Lyapunov exponents for products of matrices and multifractal analysis. I: Positive matrices
- Hausdorff dimensions of sofic affine-invariant sets
- A characterization of hyperbolic potentials of rational maps
- Multifractal analysis of asymptotically additive sequences
- Strongly mixing g-measures
- Large deviation for weak Gibbs measures and multifractal spectra
- On factors of Gibbs measures for almost additive potentials
- ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS
- Multifractal analysis of weak Gibbs measures for non-uniformly expanding C1 maps
- Existence of a measurable saturated compensation function between subshifts and its applications
- Almost-additive thermodynamic formalism for countable Markov shifts
- A subadditive thermodynamic formalism for mixing repellers
- Bounded distortion and dimension for non-conformal repellers
- Convergence of the Ruelle operator for a function satisfying Bowen’s condition
- Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects
- A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
- Weak Gibbs measures and the local product structure
- The dimensions of a non-conformal repeller and an average conformal repeller
- Weak specification properties and large deviations for non-additive potentials
- On the preservation of Gibbsianness under symbol amalgamation
- Products of Random Matrices
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
