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Egodic shadowable points and uniform limits

이현희|구남집
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.12|한국수학논문집 (Korean Journal of Mathematics)|제32권 제4호|pp. 639-646

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키워드

shadowing propertychain recurrenceergodic shadowing propertynonwanderingergodic shadowable pointuniform limit
주제분류수학

초록

In this paper, we study some dynamical properties of ergodic shadowable points for dynamical systems on noncompact metric spaces. We also show that if a sequence of homeomorphisms on a metric space which converges uniformly to a homeomorphism has the ergodic shadowing property, then so does the uniform limit.

Abstract

In this paper, we study some dynamical properties of ergodic shadowable points for dynamical systems on noncompact metric spaces. We also show that if a sequence of homeomorphisms on a metric space which converges uniformly to a homeomorphism has the ergodic shadowing property, then so does the uniform limit.

참고문헌 (20)

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