Recurrence properties and disjointness on the induced spaces

By Jie-lin Li, Ke-song Yan, Xiangdong Ye. 2013

49 citations recorded by the source corpus.

A topological dynamical system induces two natural systems, one is on the hyperspace and the other one is on the probability measures space. The connection among some dynamical properties on the original space and on the induced spaces are investigated. Particularly, a minimal weakly mixing system which induces a $P$-system on the probability measures space is constructed and some disjointness result is obtained.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/17ebab5a4d4530f41f94486878182977e603368e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Xiangdong Ye
2. Jian Li

In Geometry and Topology

1. Jian Li
2. Xiangdong Ye
3. Felipe Garc'ia-Ramos
4. Wen Huang
5. Eli Glasner

In Mathematical Physics

1. Jian Li
2. Xiangdong Ye
3. Wen Huang
4. Felipe Garc'ia-Ramos
5. Guohua Zhang
6. Eli Glasner
7. Hanfeng Li
8. A. Dooley

Citations in the corpus

• Recent development of chaos theory in topological dynamics (2015, background): “2 ([13, 66]) Let (X,T ) be a dynamical system.”