7 papers
Mean Equicontinuity and Related Properties in Hyperspace and Measure Dynamics
Till Hauser, Chunlin Liu
For a dynamical system we consider the induced dynamical systems $(\myper(X),T)$ and $(\hyper(X),T)$, consisting of Borel probability measures and closed non-empty subsets,…
Dynamical Cantor Staircase Functions and The Small Flow Boundary Property
Tomasz Downarowicz, Yonatan Gutman, Chunlin Liu
The small flow boundary property (SFBP), introduced by Burguet for fixed-point free topological flows, is a non-trivial generalization of the small boundary property (SBP). We char…
The Bishop--Phelps--Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains
Tattwamasi Amrutam, Priyadarshi Dey, Chunlin Liu +1
We prove a Bishop--Phelps--Bollobás theorem for operators into spaces of continuous scalar-valued functions on extremally disconnected compact Hausdorff spaces over both the real…
Connecting Orbits in Cooperative McKean-Vlasov SDEs
Chunlin Liu, Baoyou Qu, Jinxiang Yao +1
In this work we extend the framework of monotone dynamical systems to a broad and important class of stochastic equations, namely cooperative McKean-Vlasov SDEs with multiplicative…
Ergodicity and Mixing of Sublinear Expectation System and Applications
Wen Huang, Chunlin Liu, Shige Peng +1
We utilize an ergodic theory framework to explore sublinear expectation theory. Specifically, we investigate the pointwise Birkhoff's ergodic theorem for invariant sublinear expect…
Finite ergodic components for upper probabilities
Chunrong Feng, Wen Huang, Chunlin Liu +1
Under the notion of ergodicity of upper probability in the sense of Feng and Zhao (2021) that any invariant set either has capacity or its complement has capacity 0, we introdu…