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. The Interplay between Additive and Multiplicative Central Sets Theorems, Indagationes Mathematicae (2026). (with Pintu Debnath, Sayan Goswami). [DOI]
  2. Relative sequence entropy for amenable group actions, Journal of Differential Equations (2025). (with Changlin Wang, Weisheng Wu). [DOI]
  3. Ergodicity and mixing of invariant capacities and applications, Annals of Applied Probability, to appear (2025). (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [arXiv]
  4. Sequence entropy and IT-tuples for minimal group actions, Advances in Mathematics (2025). (with Xiangtong Wang, Leiye Xu). [DOI]
  5. Directional Pinsker algebra and its applications, Journal of Mathematical Physics (2024). (with Leiye Xu). [DOI]
  6. 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]
  7. Pinsker σ-Algebra Character and Mean Li–Yorke Chaos, Journal of Dynamics and Differential Equations (2024). (with Rongzhong Xiao, Leiye Xu). [DOI]
  8. Metric mean dimension via preimage structures, Journal of Statistical Physics (2024). (with Fagner B Rodrigues). [DOI]
  9. Directional weak mixing and applications, Fundamenta Mathematicae (2024). [DOI]
  10. Sequence entropy for amenable group actions, Physica Scripta (2023). (with Kesong Yan). [DOI]
  11. 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]
  12. Sequence entropy tuples and mean sensitive tuples, Ergodic Theory and Dynamical Systems (2023). (with Jie Li, Siming Tu, Tao Yu). [DOI]
  13. Directional entropy dimension of topological dynamical systems, Journal of Differential Equations (2022). (with Xiaomin Zhou). [DOI]
  14. Positive Density Subsets in Amenable Groups, Journal of Dynamics and Differential Equations (2022). [DOI]
  15. 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. Nonlinear metric mean dimension, preprint. (with Alex Jenaro Becker, Fagner B Rodrigues). [ResearchGate]
  5. A note on multivariate diam mean equicontinuity and frequent stability, preprint. (with Lino Joss Fidel Haupt, Tobias Jäger). [arXiv]
  6. Independence and mean sensitivity in minimal systems under group actions, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  7. Independence, sequence entropy and mean sensitivity for ergodic group actions, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  8. ∆-weak mixing and asynchronous Li-Yorke chaos, preprint. (with Rongzhong Xiao, Leiye Xu, Xiaomin zhou). [SSRN]
  9. Ergodicity and Mixing of Sublinear Expectation System and Applications, preprint. (with Wen Huang, Shige Peng, Baoyou Qu). [arXiv]
  10. Finite ergodic components for upper probabilities, preprint. (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [arXiv]
  11. Mean Li-Yorke chaos along some sequence under amenable group actions, preprint. [ResearchGate]
  12. Unstable Invariant Measures and Connecting Orbits of Cooperative McKean-Vlasov SDEs, preprint. (with Baoyou Qu, Jinxiang Yao, Yanpeng Zhi). [arXiv]
  13. Variational principles for metric mean dimension with potential of level sets, preprint. (with Lucas Backes, Fagner B Rodrigues). [arXiv]
  14. Directional bounded complexity, mean equicontinuity and discrete spectrum for Zq-actions, preprint. (with Leiye Xu). [arXiv]