Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE ERGODIC SHADOWING PROPERTY THROUGH UNIFORM LIMITS

  • Namjip Koo (Department of Mathematics Chungnam National University) ;
  • Hyunhee Lee (Department of Mathematics Chungnam National University)
  • Received : 2024.04.04
  • Accepted : 2024.05.26
  • Published : 2024.05.31
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Abstract

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.

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References

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