Ergodic Shadowing of Semigroup Actions

  • Zahra ShabaniEmail author
Original Paper


The present work is concerned with the ergodic shadowing property of semigroup actions. We prove that any finitely generated semigroup with the ergodic shadowing property has the ordinary shadowing property, and some properties for semigroup actions with the ergodic shadowing property such as topologically mixing, chain mixing, and weakly mixing are investigated. Finally, we define some kind of specification property and clarify its relation to the ergodic shadowing property.


Ergodic shadowing property Shadowing property Iterated function system Mixing 

Mathematics Subject Classification

35B41 37E30 



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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of MathematicsUniversity of Sistan and BaluchestanZahedanIran

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