A Numerical Study of Gibbs u-Measures for Partially Hyperbolic Diffeomorphisms on T3
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Publication:5228844
DOI10.1080/10586458.2017.1389321zbMath1427.37063arXiv1707.04303OpenAlexW2769363297MaRDI QIDQ5228844
Itai Maimon, Aleksey N. Kolmogorov, Andrey Gogolev
Publication date: 13 August 2019
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.04303
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Simulation of dynamical systems (37M05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)
Related Items (2)
Robust minimality of strong foliations for DA diffeomorphisms: 𝑐𝑢-volume expansion and new examples ⋮ Measure rigidity of Anosov flows via the factorization method
Cites Work
- Unnamed Item
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- A few remarks on partially hyperbolic diffeomorphisms of \(\mathbb T^3\) isotopic to Anosov
- Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus
- \(C^1\)-differentiable conjugacy of Anosov diffeomorphisms on three dimensional torus
- Smooth conjugacy of anosov diffeomorphisms on higher-dimensional tori
- Contributions to the stability conjecture
- Differentiation of SRB states
- What are SRB measures, and which dynamical systems have them?
- On differentiability of SRB states for partially hyperbolic systems
- Lectures on partial hyperbolicity and stable ergodicity
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Entropy along expanding foliations
- Differentiating potential functions of SRB measures on hyperbolic attractors
- A Note on the Generation of Random Normal Deviates
- A sufficient condition for robustly minimal foliations
- Gibbs measures for partially hyperbolic attractors
- Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms
- MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
- Limit theorems for partially hyperbolic systems
- Invariant manifolds
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