On equilibrium states for partially hyperbolic horseshoes: uniqueness and statistical properties
From MaRDI portal
Publication:1684172
DOI10.1007/s00574-017-0027-yzbMath1456.37036OpenAlexW2571640493MaRDI QIDQ1684172
Publication date: 8 December 2017
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-017-0027-y
Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30)
Related Items
Equilibrium states for certain partially hyperbolic attractors, Topological pressure for conservative C 1 -diffeomorphisms with no dominated splitting, Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part, Equilibrium measures for some partially hyperbolic systems, Equilibrium states for non-uniformly hyperbolic systems: statistical properties and analyticity, Equilibrium states for Mañé diffeomorphisms, Equilibrium stability for non-uniformly hyperbolic systems, Extensions with shrinking fibers, The structure of the space of ergodic measures of transitive partially hyperbolic sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conditional measures and conditional expectation; Rohlin's disintegration theorem
- Uniqueness of equilibrium states for some partially hyperbolic horseshoes
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
- Decay of correlations for certain quadratic maps
- Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
- Decay of correlations for piecewise expanding maps.
- Decay of correlations
- Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
- Statistical mechanics of a one-dimensional lattice gas
- Conformal measures for multidimensional piecewise invertible maps
- Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
- Statistical properties of the maximal entropy measure for partially hyperbolic attractors
- Equilibrium states for partially hyperbolic horseshoes
- Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes
- Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
- On equilibrium states for partially hyperbolic horseshoes
- Existence of Gibbs measures for countable Markov shifts
- Thermodynamic formalism for countable Markov shifts
- Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps
- Entropy for Group Endomorphisms and Homogeneous Spaces
- GIBBS MEASURES IN ERGODIC THEORY