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. A note on multivariate diam mean equicontinuity and frequent stability, accepted for publication in Nonlinearity. (with Lino Joss Fidel Haupt, Tobias Jäger). [arXiv]
  2. Ergodicity and mixing of invariant capacities and applications , Annals of Applied Probability, (2026). (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [DOI]
  3. ∆-weak mixing and asynchronous Li-Yorke chaos , Journal of Differential Equations (2026). (with Rongzhong Xiao, Leiye Xu, Xiaomin zhou). [DOI]
  4. 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]
  5. Nonlinear metric mean dimension, Discrete and Continuous Dynamical Systems- Series S (2026). (with Alex Jenaro Becker, Fagner B Rodrigues). [DOI]
  6. The Interplay between Additive and Multiplicative Central Sets Theorems, Indagationes Mathematicae (2026). (with Pintu Debnath, Sayan Goswami). [DOI]
  7. Relative sequence entropy for amenable group actions, Journal of Differential Equations (2025). (with Changlin Wang, Weisheng Wu). [DOI]
  8. Sequence entropy and IT-tuples for minimal group actions , Advances in Mathematics (2025). (with Xiangtong Wang, Leiye Xu). [DOI]
  9. Directional Pinsker algebra and its applications, Journal of Mathematical Physics (2024). (with Leiye Xu). [DOI]
  10. 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]
  11. Pinsker σ-Algebra Character and Mean Li–Yorke Chaos, Journal of Dynamics and Differential Equations (2024). (with Rongzhong Xiao, Leiye Xu). [DOI]
  12. Metric mean dimension via preimage structures, Journal of Statistical Physics (2024). (with Fagner B Rodrigues). [DOI]
  13. Directional weak mixing and applications, Fundamenta Mathematicae (2024). [DOI]
  14. Sequence entropy for amenable group actions, Physica Scripta (2023). (with Kesong Yan). [DOI]
  15. 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]
  16. Sequence entropy tuples and mean sensitive tuples, Ergodic Theory and Dynamical Systems (2023). (with Jie Li, Siming Tu, Tao Yu). [DOI]
  17. Directional entropy dimension of topological dynamical systems, Journal of Differential Equations (2022). (with Xiaomin Zhou). [DOI]
  18. Positive Density Subsets in Amenable Groups, Journal of Dynamics and Differential Equations (2022). [DOI]
  19. Directional Kronecker algebra for $\mathbb{Z}^q$-actions, Ergodic Theory and Dynamical Systems (2022). (with Leiye Xu). [DOI]

Preprints

  1. Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions, preprint. [arXiv]
  2. Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy, preprint. [arXiv]
  3. Mean Equicontinuity and Related Properties in Hyperspace and Measure Dynamics, preprint. (with Till Hauser). [arXiv]
  4. Dynamical Cantor Staircase Functions and The Small Flow Boundary Property, preprint. (with Tomasz Downarowicz, Yonatan Gutman). [arXiv]
  5. The Bishop--Phelps--Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains, preprint. (with Tattwamasi Amrutam, Priyadarshi Dey and Monika). [arXiv]
  6. Classifying Slice-Regular Polynomials via Group Actions on the Twistor Space, preprint. (with Giovanni Moreno, Haipan Shi). [arXiv]
  7. The maximal mean equicontinuous factor via regional mean sensitivity, preprint. (with Till Hauser). [arXiv]
  8. Rigidity of Generalized Furstenberg Boundaries and Applications to Intermediate Crossed Products, preprint. (with Tattwamasi Amrutam). [arXiv]
  9. Idempotents in the Ellis semigroup of Floyd-Auslander systems, preprint. (with Gabriel Fuhrmann). [arXiv]
  10. Independence and mean sensitivity in minimal systems under group actions, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  11. Independence, sequence entropy and mean sensitivity for invariant measures, preprint. (with Leiye Xu, Shuhao Zhang). [arXiv]
  12. Ergodicity and Mixing of Sublinear Expectation System and Applications, preprint. (with Wen Huang, Shige Peng, Baoyou Qu). [arXiv]
  13. Finite ergodic components for upper probabilities, preprint. (with Chunrong Feng, Wen Huang, Huaizhong Zhao). [arXiv]
  14. Mean Li-Yorke chaos along some sequence under amenable group actions, preprint. [ResearchGate]
  15. Unstable Invariant Measures and Connecting Orbits of Cooperative McKean-Vlasov SDEs, preprint. (with Baoyou Qu, Jinxiang Yao, Yanpeng Zhi). [arXiv]
  16. Directional bounded complexity, mean equicontinuity and discrete spectrum for Zq-actions, preprint. (with Leiye Xu). [arXiv]