| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6419543 | Journal of Mathematical Analysis and Applications | 2011 | 7 Pages |
Abstract
Let X be a compact metric space and f:XâX be a continuous map. In this paper, we prove that if f has the average-shadowing property and the minimal points of f are dense in X, then f is weakly mixing and totally strongly ergodic. As applications we obtain that if f is a distal or Lyapunov stable map having the average-shadowing property, then X is consisting of one point. Moreover, we illustrate that the full shift has the average-shadowing property.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yingxuan Niu,