Robust transitivity for endomorphisms
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Publication:2842228
DOI10.1017/S0143385712000247zbMath1314.37019arXiv1201.4806WikidataQ125375511 ScholiaQ125375511MaRDI QIDQ2842228
Cristina Lizana, Enrique R. Pujals
Publication date: 13 August 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.4806
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (8)
Topological obstructions for robustly transitive endomorphisms on surfaces ⋮ An example of a map which is $C^2$-robustly transitive but not $C^1$-robustly transitive ⋮ A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive ⋮ Robust transitivity and domination for endomorphisms displaying critical points ⋮ Contribution to the ergodic theory of robustly transitive maps ⋮ Robust transitivity for endomorphisms admitting critical points ⋮ Robustly non-hyperbolic transitive endomorphisms on 𝕋² ⋮ A persistently singular map of $\mathbb{T}^n$ that is $C^1$ robustly transitive
Cites Work
- Structural stability of \(C^1\) diffeomorphisms
- Contributions to the stability conjecture
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- A remark on locally maximal hyperbolic sets
- Persistent nonhyperbolic transitive diffeomorphisms
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- New criteria for hyperbolicity based on periodic sets
- On Morse-Smale dynamical systems
- Robust Transitivity in Hamiltonian Dynamics
- A sufficient condition for robustly minimal foliations
- Hyperbolic sets that are not locally maximal
- Endomorphisms of Compact Differentiable Manifolds
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