On the abundance of Sinai-Ruelle-Bowen measures
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Publication:2124219
DOI10.1007/s00220-022-04338-5zbMath1498.37034OpenAlexW4214577723MaRDI QIDQ2124219
Zeya Mi, Da-Wei Yang, Yong-Luo Cao
Publication date: 19 April 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-022-04338-5
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (2)
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers ⋮ Topological transitivity of Kan-type partially hyperbolic diffeomorphisms
Cites Work
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- SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
- On Pesin's entropy formula for dominated splittings without mixed behavior
- A note on partially hyperbolic attractors: entropy conjecture and SRB measures
- Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
- Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows
- Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces
- Existence and uniqueness of SRB measure on \(C^1\) generic hyperbolic attractors
- Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- The ergodic theory of axiom A flows
- Positivity of entropy production in nonequilibrium statistical mechanics
- High dimension diffeomorphisms displaying infinitely many periodic attractors
- What are SRB measures, and which dynamical systems have them?
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
- Lyapunov stability of \(\omega\)-limit sets
- An ergodic closing lemma
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Smooth ergodic theory of random dynamical systems
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Empirical measures of partially hyperbolic attractors
- Partial hyperbolicity and homoclinic tangencies
- Statistical stability of mostly expanding diffeomorphisms
- Diffeomorphisms with infinitely many sinks
- SRB measures for partially hyperbolic systems whose central direction is weakly expanding
- A global perspective for non-conservative dynamics
- Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles
- Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms
- A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations
- Gibbs measures for partially hyperbolic attractors
- Regular Points for Ergodic Sinai Measures
- A Measure Associated with Axiom-A Attractors
- Connexions hétéroclines et généricité d'une infinité de puits et de sources
- Homoclinic tangencies and dominated splittings
- The entropy conjecture for dominated splitting with multi 1D centers via upper semi-continuity of the metric entropy
- Lectures on Lyapunov Exponents
- LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
- GIBBS MEASURES IN ERGODIC THEORY
- SRB measures as zero-noise limits
- Recurrence and genericity
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Invariant manifolds
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