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arxiv: 1610.06290 · v1 · pith:VFZ4OL4Hnew · submitted 2016-10-20 · 🧮 math.DS

Constructing center-stable tori

classification 🧮 math.DS
keywords center-stablecenter-unstablehyperbolicpartiallytoritorusconstructconstructing
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We show that any weakly partially hyperbolic diffeomorphism on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.

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