JOURNAL BROWSE
Search
Advanced SearchSearch Tips
TOPOLOGICAL COMPLEXITY OF SEMIGROUP ACTIONS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
TOPOLOGICAL COMPLEXITY OF SEMIGROUP ACTIONS
Yan, Xinhua; He, Lianfa;
  PDF(new window)
 Abstract
In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property.
 Keywords
topological complexity function;scattering;weak mixing;
 Language
English
 Cited by
1.
Topological entropy of formal languages, Semigroup Forum, 2016  crossref(new windwow)
 References
1.
S. Ferenczi, Measure-theoretic complexity of ergodic systems, Israel J. Math. 100 (1997), 189-207 crossref(new window)

2.
S. Ferenczi, Complexity of sequences and dynamical systems, Discrete Math. 206 (1999), no. 1-3, 145-154 crossref(new window)

3.
F. Blanchard, B. Host, and A. Maass, Topological complexity,Ergodic Theory Dynam. Systems 20 (2000), no. 3, 641-662 crossref(new window)

4.
K. E. Petersen, Disjointness and weak mixing of minimal sets, Proc. Amer. Math. Soc. 24 (1970), 278-280 crossref(new window)

5.
J. de Vries, Elements of topological dynamics, Mathematics and its Applications, 257. Kluwer Academic Publishers Group, Dordrecht, 1993