[{"publication_identifier":{"issn":["0001-8708"],"eissn":["1090-2082"]},"has_accepted_license":"1","article_number":"109943","OA_type":"hybrid","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","citation":{"mla":"Hou, Xuanji, et al. “Dynamical Classification of Analytic One-Frequency Quasi-Periodic SO(3,R)-Cocycles.” <i>Advances in Mathematics</i>, vol. 457, 109943, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.aim.2024.109943\">10.1016/j.aim.2024.109943</a>.","chicago":"Hou, Xuanji, Yi Pan, and Qi Zhou. “Dynamical Classification of Analytic One-Frequency Quasi-Periodic SO(3,R)-Cocycles.” <i>Advances in Mathematics</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.aim.2024.109943\">https://doi.org/10.1016/j.aim.2024.109943</a>.","short":"X. Hou, Y. Pan, Q. Zhou, Advances in Mathematics 457 (2024).","apa":"Hou, X., Pan, Y., &#38; Zhou, Q. (2024). Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2024.109943\">https://doi.org/10.1016/j.aim.2024.109943</a>","ieee":"X. Hou, Y. Pan, and Q. Zhou, “Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles,” <i>Advances in Mathematics</i>, vol. 457. Elsevier, 2024.","ama":"Hou X, Pan Y, Zhou Q. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. <i>Advances in Mathematics</i>. 2024;457. doi:<a href=\"https://doi.org/10.1016/j.aim.2024.109943\">10.1016/j.aim.2024.109943</a>","ista":"Hou X, Pan Y, Zhou Q. 2024. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. 457, 109943."},"type":"journal_article","quality_controlled":"1","project":[{"_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","name":"Spectral rigidity and integrability for billiards and geodesic flows","call_identifier":"H2020","grant_number":"885707"}],"day":"01","year":"2024","date_published":"2024-11-01T00:00:00Z","department":[{"_id":"VaKa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Xuanji","last_name":"Hou","full_name":"Hou, Xuanji"},{"full_name":"Pan, Yi","last_name":"Pan","first_name":"Yi","id":"1e21c7f7-9070-11eb-847d-8b04c7169523"},{"first_name":"Qi","full_name":"Zhou, Qi","last_name":"Zhou"}],"_id":"18065","article_processing_charge":"Yes (via OA deal)","publisher":"Elsevier","file_date_updated":"2025-01-13T08:29:27Z","volume":457,"file":[{"date_created":"2025-01-13T08:29:27Z","file_size":713659,"date_updated":"2025-01-13T08:29:27Z","access_level":"open_access","relation":"main_file","file_id":"18826","creator":"dernst","success":1,"content_type":"application/pdf","file_name":"2024_AdvancesMath_Hou.pdf","checksum":"1c80b844a91d93cf4799f4a65873b18d"}],"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"status":"public","arxiv":1,"acknowledgement":"X. Hou is partially supported by National Natural Science Foundation of China (Grant \r\n12071083) and Funds for Distinguished Youths of Hubei Province of China (\r\n2019CFA680). 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 (\r\n12071232) and Nankai Zhide Foundation.","publication":"Advances in Mathematics","date_created":"2024-09-15T22:01:39Z","corr_author":"1","ddc":["510"],"isi":1,"month":"11","intvolume":"       457","oa":1,"oa_version":"Published Version","language":[{"iso":"eng"}],"date_updated":"2025-09-08T09:44:19Z","publication_status":"published","scopus_import":"1","external_id":{"isi":["001315306500001"],"arxiv":["2311.17537"]},"title":"Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles","abstract":[{"text":"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.","lang":"eng"}],"doi":"10.1016/j.aim.2024.109943","OA_place":"publisher"}]