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arXiv · 2011.01378

Classification of partially hyperbolic surface endomorphisms

Layne Hall·Andy Hammerlindl
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Abstract

We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic centre annuli. This completes a classification of partially hyperbolic surface endomorphisms.

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Layne Hall, Andy Hammerlindl. 2020-11-02. Classification of partially hyperbolic surface endomorphisms. https://arxiv.org/abs/2011.01378

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