An explicit scattering, non-weakly mixing example and weak disjointness. (English) Zbl 1018.54026

Huang, Wen; Ye, Xiangdong

Nonlinearity 15, No. 3, 849-862 (2002).

The paper presents an example of the system that is strongly scattering and not weakly mixing. The authors also define extreme scattering and weak scattering and study the relationships of the various definitions.

Reviewer: Klaudiusz Wojcik (Kraków)

MSC:

54H20	Topological dynamics (MSC2010)
37B05	Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37B10	Symbolic dynamics

Keywords:

scattering system; mixing system