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arXiv · 2311.17537

Dynamical classification of analytic one-frequency quasi-periodic $\mathrm{SO}(3,\mathbb{R})$-cocycles

Xuanji Hou·Yi Pan·Qi Zhou
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Abstract

We establish a close connection between acceleration and dynamical degree for one-frequency quasi-periodic compact cocycles, by showing that two vectors derived separately from each coincide. Based on this, we provide a dynamical classification of one-frequency quasi-periodic $\mathrm{SO}(3,\mathbb{R})$-cocycles.

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Xuanji Hou, Yi Pan, Qi Zhou. 2023-11-29. Dynamical classification of analytic one-frequency quasi-periodic $\mathrm{SO}(3,\mathbb{R})$-cocycles. https://arxiv.org/abs/2311.17537

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