---
OA_place: publisher
OA_type: hybrid
_id: '18065'
abstract:
- lang: eng
  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.
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."
article_number: '109943'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Xuanji
  full_name: Hou, Xuanji
  last_name: Hou
- first_name: Yi
  full_name: Pan, Yi
  id: 1e21c7f7-9070-11eb-847d-8b04c7169523
  last_name: Pan
- first_name: Qi
  full_name: Zhou, Qi
  last_name: Zhou
citation:
  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>
  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>
  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>.
  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.
  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.
  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>.
  short: X. Hou, Y. Pan, Q. Zhou, Advances in Mathematics 457 (2024).
corr_author: '1'
date_created: 2024-09-15T22:01:39Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2025-09-08T09:44:19Z
day: '01'
ddc:
- '510'
department:
- _id: VaKa
doi: 10.1016/j.aim.2024.109943
ec_funded: 1
external_id:
  arxiv:
  - '2311.17537'
  isi:
  - '001315306500001'
file:
- access_level: open_access
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  creator: dernst
  date_created: 2025-01-13T08:29:27Z
  date_updated: 2025-01-13T08:29:27Z
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has_accepted_license: '1'
intvolume: '       457'
isi: 1
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A
  call_identifier: H2020
  grant_number: '885707'
  name: Spectral rigidity and integrability for billiards and geodesic flows
publication: Advances in Mathematics
publication_identifier:
  eissn:
  - 1090-2082
  issn:
  - 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 457
year: '2024'
...