Equilibrium states for certain partially hyperbolic attractors
DOI10.1088/1361-6544/ab8021zbMath1445.37023arXiv1909.05230OpenAlexW3100187722MaRDI QIDQ5113324
Publication date: 4 June 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05230
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)
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Cites Work
- Unnamed Item
- Unique equilibrium states for flows and homeomorphisms with non-uniform structure
- Backward inducing and exponential decay of correlations for partially hyperbolic attractors.
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- On equilibrium states for partially hyperbolic horseshoes: uniqueness and statistical properties
- Unique equilibrium states for geodesic flows in nonpositive curvature
- Lectures on partial hyperbolicity and stable ergodicity
- Intrinsic ergodicity beyond specification: \({\beta}\)-shifts, \(S\)-gap shifts, and their factors
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- SRB measures for partially hyperbolic systems whose central direction is weakly expanding
- Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms
- Equilibrium states for hyperbolic potentials
- Statistical properties of the maximal entropy measure for partially hyperbolic attractors
- On the uniqueness of equilibrium states for piecewise monotone mappings
- Foundations of Ergodic Theory
- Equilibrium states for interval maps: the potential $-t\log |Df|$
- Some systems with unique equilibrium states
- A Measure Associated with Axiom-A Attractors
- A Relativised Variational Principle for Continuous Transformations
- Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
- Equilibrium states for non-uniformly expanding maps
- Unique equilibrium states for Bonatti–Viana diffeomorphisms
- Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part
- Symbolic dynamics for surface diffeomorphisms with positive entropy
- SRB measures for non-hyperbolic systems with multidimensional expansion
- Equilibrium states for Mañé diffeomorphisms
- Equilibrium states in dynamical systems via geometric measure theory
- Geometric pressure for multimodal maps of the interval
- GIBBS MEASURES IN ERGODIC THEORY
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