SRB measures for non-hyperbolic systems with multidimensional expansion
From MaRDI portal
Publication:4951733
DOI10.1016/S0012-9593(00)00101-4zbMath0955.37012OpenAlexW2071586276MaRDI QIDQ4951733
Publication date: 9 October 2000
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_1_1_0
Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items
Pesin's entropy formula for \(C^1\) non-uniformly expanding maps, Almost sure rates of mixing for i.i.d. unimodal maps, Non-uniform hyperbolicity and existence of absolutely continuous invariant measures, Building thermodynamics for non-uniformly hyperbolic maps, Large deviations for non-uniformly expanding maps, Higher-dimensional attractors with absolutely continuous invariant probability, Abundance of wild historic behavior, Entropy formula and continuity of entropy for piecewise expanding maps, Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers, Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps, Large deviations for dynamical systems with stretched exponential decay of correlations, Almost sure mixing rates for non-uniformly expanding maps, Kupka–Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model, Exponential decay of hyperbolic times for Benedicks-Carleson quadratic maps, Open sets of partially hyperbolic skew products having a unique SRB measure, Equilibrium states for certain partially hyperbolic attractors, Repellers for non-uniformly expanding maps with singular or critical points, Geometry of expanding absolutely continuous invariant measures and the liftability problem, On the continuity of the SRB entropy for endomorphisms, From rates of mixing to recurrence times via large deviations, SRB measures for almost Axiom A diffeomorphisms, Statistical stability for multidimensional piecewise expanding maps, Statistical stability of mostly expanding diffeomorphisms, Expanding measures, Physical measures and absolute continuity for one-dimensional center direction, Viana maps driven by Benedicks-Carleson quadratic maps, Non-uniform specification and large deviations for weak Gibbs measures, On equilibrium states for partially hyperbolic horseshoes, Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps, Martingale-coboundary decomposition for families of dynamical systems, The geometric approach for constructing Sinai-Ruelle-Bowen measures, Statistical properties of generalized Viana maps, Existence and non-existence of length averages for foliations, Open problems in the theory of non-uniform hyperbolicity, Decay of random correlation functions for unimodal maps., Physical measures for partially hyperbolic surface endomorphisms, Absolutely continuous invariant measures for random non-uniformly expanding maps, Invariant multi-graphs in step skew-products, Ergodicity of non-uniformly expanding transitive group (or semigroup) actions, Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension, Ergodicity of non-autonomous discrete systems with non-uniform expansion, Maximizing entropy measures for random dynamical systems, Inducing schemes for multi-dimensional piecewise expanding maps, Rate of convergence in the weak invariance principle for deterministic systems, Equilibrium stability for non-uniformly hyperbolic systems, Decay of correlations for nonuniformly expanding systems, Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms, Markov structures and decay of correlations for non-uniformly expanding dynamical systems, Beyond Bowen’s Specification Property, First hyperbolic times for intermittent maps with unbounded derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- The dynamics of the Hénon map
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- The ergodic theory of axiom A flows
- Abundance of strange attractors
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- Multidimensional nonhyperbolic attractors
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- On Functions of Bounded Variation in Higher Dimensions
- On the Existence of Invariant Measures for Piecewise Monotonic Transformations
- A Measure Associated with Axiom-A Attractors
- Stable Orbits and Bifurcation of Maps of the Interval
- Strange attractors in higher dimensions
- Attracteurs de Lorenz de variété instable de dimension arbitraire
- Absolutely continuous invariant measures for piecewise expanding C2 transformations in Rn on domains with cusps on the boundaries
- GIBBS MEASURES IN ERGODIC THEORY
