Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles
Hou X, Pan Y, Zhou Q. 2024. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. 457, 109943.
Download (ext.)
Journal Article
| Epub ahead of print
| English
Scopus indexed
Author
Hou, Xuanji;
Pan, YiISTA;
Zhou, Qi
Department
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 SO(3, R)-cocycles.
Publishing Year
Date Published
2024-09-01
Journal Title
Advances in Mathematics
Acknowledgement
X. Hou is partially supported by National Natural Science Foundation of China (Grant
12071083) and Funds for Distinguished Youths of Hubei Province of China (
2019CFA680). Y. Pan is supported by ERC Advanced Grant (#885707). Q. Zhou is partially supported by National Key R&D Program of China (2020YFA0713300), NSFC grant (
12071232) and Nankai Zhide Foundation.
Volume
457
Article Number
109943
ISSN
eISSN
IST-REx-ID
Cite this
Hou X, Pan Y, Zhou Q. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. 2024;457. doi:10.1016/j.aim.2024.109943
Hou, X., Pan, Y., & Zhou, Q. (2024). Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109943
Hou, Xuanji, Yi Pan, and Qi Zhou. “Dynamical Classification of Analytic One-Frequency Quasi-Periodic SO(3,R)-Cocycles.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109943.
X. Hou, Y. Pan, and Q. Zhou, “Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles,” Advances in Mathematics, vol. 457. Elsevier, 2024.
Hou X, Pan Y, Zhou Q. 2024. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. 457, 109943.
Hou, Xuanji, et al. “Dynamical Classification of Analytic One-Frequency Quasi-Periodic SO(3,R)-Cocycles.” Advances in Mathematics, vol. 457, 109943, Elsevier, 2024, doi:10.1016/j.aim.2024.109943.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Link(s) to Main File(s)
Access Level
Open Access
Google Scholar