On the total disconnectedness of the quotient Aubry set
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Publication:5441427
DOI10.1017/S0143385707000351zbMath1171.37329arXiv0704.0129OpenAlexW2962892354MaRDI QIDQ5441427
Publication date: 13 February 2008
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.0129
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Related Items (5)
On finite quotient Aubry set for generic geodesic flows ⋮ Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus ⋮ On the Conley decomposition of Mather sets ⋮ On the Hausdorff dimension of the mather quotient ⋮ Closing Aubry Sets I
Cites Work
- Action minimizing invariant measures for positive definite Lagrangian systems
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- Toward a Precise Smoothness Hypothesis in Sard's Theorem
- Lagrangian flows: The dynamics of globally minimizing orbits
- Lagrangian flows: The dynamics of globally minimizing orbits-II
- Whitney’s example by way of Assouad’s embedding
- Total disconnectedness of the quotient Aubry set in low dimensions
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Examples of Aubry sets
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