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.
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Author
Hou, Xuanji;
Pan, YiISTA;
Zhou, Qi
Corresponding author has ISTA affiliation
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
Publisher
Elsevier
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.
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