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arXiv · 1802.05291

Robust dynamics, invariant structures and topological classification

Rafael Potrie
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Abstract

This text is about geometric structures imposed by robust dynamical behaviour. We explain recent results towards the classification of partially hyperbolic systems in dimension 3 using the theory of foliations and its interaction with topology. We also present recent examples which introduce a challenge in the classification program and we propose some steps to continue this classification. Finally, we give some suggestions on what to do after classification is achieved.

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Rafael Potrie. 2018-02-14. Robust dynamics, invariant structures and topological classification. https://arxiv.org/abs/1802.05291

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