Chunlin Liu

Chunlin Liu

Chunlin Liu does research in topological dynamics and ergodic theory.

Publications

You can also find my articles on my Google Scholar profile.

Journal Articles

  1. ∆-weak mixing and asynchronous Li-Yorke chaos, Journal of Differential Equations (2026). (with Rongzhong Xiao, Leiye Xu, Xiaomin zhou). [DOI]
  2. Variational principles for metric mean dimension with potential of level sets, Journal of Dynamical and Control Systems (2026). (with Lucas Backes, Fagner B Rodrigues). [DOI]
  3. Nonlinear metric mean dimension, Discrete and Continuous Dynamical Systems- Series S (2026). (with Alex Jenaro Becker, Fagner B Rodrigues). [DOI]
  4. The Interplay between Additive and Multiplicative Central Sets Theorems, Indagationes Mathematicae (2026). (with Pintu Debnath, Sayan Goswami). [DOI]
  5. Relative sequence entropy for amenable group actions, Journal of Differential Equations (2025). (with Changlin Wang, Weisheng Wu). [DOI]
  6. Ergodicity and mixing of invariant capacities and applications, Annals of Applied Probability, to appear (2025). (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [arXiv]
  7. Sequence entropy and IT-tuples for minimal group actions, Advances in Mathematics (2025). (with Xiangtong Wang, Leiye Xu). [DOI]
  8. Directional Pinsker algebra and its applications, Journal of Mathematical Physics (2024). (with Leiye Xu). [DOI]
  9. Mean Li-Yorke chaos along any infinite sequence for infinite-dimensional random dynamical systems, Journal of Differential Equations (2024). (with Feng Tan, Jianhua Zhang). [DOI]
  10. Pinsker σ-Algebra Character and Mean Li–Yorke Chaos, Journal of Dynamics and Differential Equations (2024). (with Rongzhong Xiao, Leiye Xu). [DOI]
  11. Metric mean dimension via preimage structures, Journal of Statistical Physics (2024). (with Fagner B Rodrigues). [DOI]
  12. Directional weak mixing and applications, Fundamenta Mathematicae (2024). [DOI]
  13. Sequence entropy for amenable group actions, Physica Scripta (2023). (with Kesong Yan). [DOI]
  14. The irregular set for maps with almost weak specification property has full metric mean dimension, Journal of Mathematical Analysis and Applications (2023). (with Xue Liu). [DOI]
  15. Sequence entropy tuples and mean sensitive tuples, Ergodic Theory and Dynamical Systems (2023). (with Jie Li, Siming Tu, Tao Yu). [DOI]
  16. Directional entropy dimension of topological dynamical systems, Journal of Differential Equations (2022). (with Xiaomin Zhou). [DOI]
  17. Positive Density Subsets in Amenable Groups, Journal of Dynamics and Differential Equations (2022). [DOI]
  18. Directional Kronecker algebra for Zq-actions, Ergodic Theory and Dynamical Systems (2022). (with Leiye Xu). [DOI]

Preprints

  1. The maximal mean equicontinuous factor via regional mean sensitivity, preprint. (with Till Hauser). [arXiv]
  2. Rigidity of Generalized Furstenberg Boundaries and Applications to Intermediate Crossed Products, preprint. (with Tattwamasi Amrutam). [arXiv]
  3. Idempotents in the Ellis semigroup of Floyd-Auslander systems, preprint. (with Gabriel Fuhrmann). [arXiv]
  4. A note on multivariate diam mean equicontinuity and frequent stability, preprint. (with Lino Joss Fidel Haupt, Tobias Jäger). [arXiv]
  5. Independence and mean sensitivity in minimal systems under group actions, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  6. Independence, sequence entropy and mean sensitivity for ergodic group actions, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  7. Ergodicity and Mixing of Sublinear Expectation System and Applications, preprint. (with Wen Huang, Shige Peng, Baoyou Qu). [arXiv]
  8. Finite ergodic components for upper probabilities, preprint. (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [arXiv]
  9. Mean Li-Yorke chaos along some sequence under amenable group actions, preprint. [ResearchGate]
  10. Unstable Invariant Measures and Connecting Orbits of Cooperative McKean-Vlasov SDEs, preprint. (with Baoyou Qu, Jinxiang Yao, Yanpeng Zhi). [arXiv]
  11. Directional bounded complexity, mean equicontinuity and discrete spectrum for Zq-actions, preprint. (with Leiye Xu). [arXiv]