A countable partition for singular flows, and its application on the entropy theory
From MaRDI portal
Publication:2164424
DOI10.1007/s11856-022-2316-4zbMath1503.37006arXiv1908.01380OpenAlexW2964968562MaRDI QIDQ2164424
Fan Yang, Yi Shi, Jiagang Yang
Publication date: 15 August 2022
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01380
Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by flows and semiflows (37C10) Topological entropy (37B40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The entropy conjecture for diffeomorphisms away from tangencies
- On the singular-hyperbolicity of star flows
- Thermodynamic formalism for contracting Lorenz flows
- On the ergodicity of partially hyperbolic systems
- Symbolic dynamics for three-dimensional flows with positive topological entropy
- Entropy theory for sectional hyperbolic flows
- Star flows and multisingular hyperbolicity
- Hyperbolic sets that are not contained in a locally maximal one
- Markov partitions for Anosov flows on \(n\)-dimensional manifolds
- Robustly transitive singular sets via approach of an extended linear Poincaré flow
- Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles
- Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence
- Upper bounds on measure-theoretic tail entropy for dominated splittings
- Three-Dimensional Flows
- Singular-hyperbolic attractors are chaotic
- Topological entropies of equivalent smooth flows
- A proof of Pesin's formula
- The dynamics of perturbations of the contracting Lorenz attractor
- Deterministic Nonperiodic Flow
- Morse-Smale systems and horseshoes for three dimensional singular flows
- A rescaled expansiveness for flows
- Homoclinic tangencies and dominated splittings
- Entropy for Group Endomorphisms and Homogeneous Spaces
- Entropy-Expansive Maps
- Invariant manifolds
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
