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. A complete list of my publications and preprints is available here (PDF) .

Selected Journal Articles

  1. A note on multivariate diam mean equicontinuity and frequent stability , Nonlinearity, (2026). (with Lino Joss Fidel Haupt, Tobias Jäger). [DOI]
  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. Relative sequence entropy for amenable group actions, Journal of Differential Equations (2025). (with Changlin Wang, Weisheng Wu). [DOI]
  5. Sequence entropy and IT-tuples for minimal group actions , Advances in Mathematics (2025). (with Xiangtong Wang, 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. Directional Kronecker algebra for $\mathbb{Z}^q$-actions, Ergodic Theory and Dynamical Systems (2022). (with Leiye Xu). [DOI]

Selected Preprints

  1. Generic Sharp Shift Embedding for Amenable Group Actions with the Uniform Rokhlin Property and Comparison, preprint. (with Yonatan Gutman). [arXiv]
  2. Comparison and Almost Finiteness for Actions of Amenable Groups, preprint. (With Eli Glasner) [arXiv]
  3. Joint Point-Distality and structure theory for commuting actions, preprint. (With Eli Glasner) [arXiv]
  4. A Uniform Product-Difference Theorem for Dense Subsets of Z^2, preprint. (With Sayan Goswami) [arXiv]
  5. Conditional Topomorphic Degree and Multivariate Mean Equicontinuity for Minimal Amenable Group Actions, preprint. [arXiv]
  6. Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy, preprint. [arXiv]
  7. Mean Equicontinuity and Related Properties in Hyperspace and Measure Dynamics, preprint. (with Till Hauser). [arXiv]
  8. Dynamical Cantor Staircase Functions and The Small Flow Boundary Property, preprint. (with Tomasz Downarowicz, Yonatan Gutman). [arXiv]
  9. Rigidity of Generalized Furstenberg Boundaries and Applications to Intermediate Crossed Products, preprint. (with Tattwamasi Amrutam). [arXiv]
  10. Idempotents in the Ellis semigroup of Floyd-Auslander systems, preprint. (with Gabriel Fuhrmann). [arXiv]
  11. Independence and mean sensitivity in minimal systems under group actions, 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. Connecting Orbits in Cooperative McKean-Vlasov SDEs, preprint. (with Baoyou Qu, Jinxiang Yao, Yanpeng Zhi). [arXiv]