Dynamical classification of analytic one-frequency quasi-periodic $\mathrm{SO}(3,\mathbb{R})$-cocycles
Dynamical Systems
2023-11-30 v1
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 -cocycles.
Keywords
Cite
@article{arxiv.2311.17537,
title = {Dynamical classification of analytic one-frequency quasi-periodic $\mathrm{SO}(3,\mathbb{R})$-cocycles},
author = {Xuanji Hou and Yi Pan and Qi Zhou},
journal= {arXiv preprint arXiv:2311.17537},
year = {2023}
}