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arXiv · 2308.01247

A non-mixing Arnold flow on a surface

Bassam Fayad·Adam Kanigowski·Rigoberto Zelada
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Abstract

We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate saddles and that is nevertheless not mixing.

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Bassam Fayad, Adam Kanigowski, Rigoberto Zelada. 2023-08-02. A non-mixing Arnold flow on a surface. https://arxiv.org/abs/2308.01247

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