Metric mean dimension via preimage structures.
Published in Journal of Statistical Physics, 2024
Chunlin Liu, Fagner B. Rodrigues
Published in Journal of Statistical Physics, 2024
Chunlin Liu, Fagner B. Rodrigues
Published in Ergodic Theory and Dynamical Systems, 2024
Chunlin Liu, Leiye Xu
Published in Journal of Differential Equations, 2024
Chunlin Liu, Feng Tan, Jianhua Zhang
Published in Ann. Appl. Probab., to appear, 2025
Chunrong Feng, Wen Huang, Chunlin Liu and Huaizhong Zhao
Published in Advances in Mathematics, 2025
Chunlin Liu, Xiangtong Wang, Leiye Xu
Published:
Abstract. To investigate the complexity of topological dynamical systems, Köhler introduced the notion of tameness. In this talk, we will focus on the structural theorem for minimal multiple-tame systems.
Published:
Abstract. To investigate the complexity of topological dynamical systems, Köhler introduced the notion of tameness. In this talk, we will focus on the structural theorem for minimal multiple-tame systems.
Published:
Abstract. Ergodic theorems play a central role in ergodic theory. However, in many real-world situations we cannot model uncertainty by a single precise probability measure. Instead, one often works with non-additive probabilities such as upper probabilities. In this talk, we study Birkhoff’s ergodic theorem and a subadditive ergodic theorem on capacity-preserving system, and discuss some of their applications. Furthermore, we introduce and investigate the weak mixing for capacity-preserving systems. This is joint work with Chunrong Feng, Wen Huang and Huaizhong Zhao.
Published:
Abstract. For actions of amenable groups, mean equicontinuity is a natural relaxation of equicontinuity obtained by averaging a metric along orbits. It is well known that every such action admits a maximal mean equicontinuous factor. Motivated by earlier work of Qiu and Zhao, Li and Yu introduced the notion of weak sensitivity in the mean for Z-actions to better understand this factor.
Published:
Abstract. For actions of amenable groups, mean equicontinuity is a natural relaxation of equicontinuity obtained by averaging a metric along orbits. It is well known that every such action admits a maximal mean equicontinuous factor. Motivated by earlier work of Qiu and Zhao, Li and Yu introduced the notion of weak sensitivity in the mean for Z-actions to better understand this factor.