Thermodynamic formalism for interval maps: inducing schemes
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Publication:5406306
DOI10.1080/14689367.2013.806732zbMath1358.37072arXiv1211.6792OpenAlexW2013149780MaRDI QIDQ5406306
Publication date: 1 April 2014
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.6792
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (4)
Equilibrium states, pressure and escape for multimodal maps with holes ⋮ Lyapunov spectrum for multimodal maps ⋮ The pressure function for infinite equilibrium measures ⋮ Asymptotic escape rates and limiting distributions for multimodal maps
Cites Work
- On cusps and flat tops
- Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes
- Dimension theory for multimodal maps
- Spectral gap and transience for Ruelle operators on countable Markov shifts
- Nice inducing schemes and the thermodynamics of rational maps
- On the Lyapunov spectrum for rational maps
- Natural equilibrium states for multimodal maps
- Lifting measures to Markov extensions
- Large derivatives, backward contraction and invariant densities for interval maps
- Equilibrium states for interval maps: potentials with \(\sup\varphi- \inf\varphi<h_{\mathrm{top}}(f)\)
- Thermodynamic formalism for contracting Lorenz flows
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Non-uniform hyperbolicity and universal bounds for \(S\)-unimodal maps
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- The Poulsen simplex
- Recurrence times and rates of mixing
- The Lyapunov spectrum for conformal expanding maps and Axiom-A surface diffeomorphisms
- Kazhdan's property T and the geometry of the collection of invariant measures
- Combinatorics, geometry and attractors of quasi-quadratic maps
- Metric attractors for smooth unimodal maps
- Induced maps, Markov extensions and invariant measures in one-dimensional dynamics
- 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
- Low-temperature phase transitions in the quadratic family
- On discontinuity of the pressure
- Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties
- Equilibrium measures for the Hénon map at the first bifurcation
- Lyapunov spectrum for exceptional rational maps
- Equilibrium states of interval maps for hyperbolic potentials
- Strong renewal theorems and Lyapunov spectra forα-Farey andα-Lüroth systems
- Equilibrium states for partially hyperbolic horseshoes
- Fractal measures and their singularities: The characterization of strange sets
- On t-conformal measures and Hausdorff dimension for a family of non-uniformly hyperbolic horseshoes
- Generalized bounded variation and applications to piecewise monotonic transformations
- The singularity spectrumf(α) for cookie-cutters
- Some properties of absolutely continuous invariant measures on an interval
- Equilibrium states for S-unimodal maps
- The dynamics of perturbations of the contracting Lorenz attractor
- Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
- ON THERMODYNAMICS OF RATIONAL MAPS. II: NON-RECURRENT MAPS
- Multifractal formalism for some parabolic maps
- Real bounds, ergodicity and negative Schwarzian for multimodal maps
- Topics from One-Dimensional Dynamics
- Thermodynamic Formalism
- Local dimension for piecewise monotonic maps on the interval
- Dimensions and Measures in Infinite Iterated Function Systems
- Thermodynamic formalism for countable Markov shifts
- The Lyapunov spectrum of some parabolic systems
- Hausdorff dimension and conformal measures of Feigenbaum Julia sets
- Thermodynamic formalism for null recurrent potentials
- Phase transitions for countable Markov shifts
- Gibbs states on the symbolic space over an infinite alphabet
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