KCI등재
학술저널
ON THE ERGODIC SHADOWING PROPERTY THROUGH UNIFORM LIMITS
ON THE ERGODIC SHADOWING PROPERTY THROUGH UNIFORM LIMITS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 37, No. 2
- 2024.05
- 75 - 80 (6 pages)
DOI : 10.14403/jcms.2024.37.2.75
In this paper, we study some dynamics of the uniform limits of sequences in dynamical systems on a noncompact metric space. We show that if a sequence of homeomorphisms on a noncompact metric space has the uniform ergodic shadowing property, then the uniform limit also has the ergodic shadowing property. Then we apply this result to nonwandering maps.
1. Introduction and preliminaries
2. Proof of Theorem 1.1
References