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On the Relation between the Average Complexity of Trajectorries and the Complexity for Zn Action
Bu00c3u00bcnyamin Aydin, Ayu00c2u00b8Se Yau00c2u00b8Sar Yavuz
Volume 14 Issue 2
Global Journal of Science Frontier Researc
Volume 14 Issue 2
Global Journal of Science Frontier Researc
The complexity of finite object was introduced by A.Kolmogorov and V.Tihomirov in [2] and it was conjectured that for Z actions complexity coincides with topo- logical entropy, [2] ; [12] , [14] : In the present paper we introduce complexity for Zn actions and prove the Kolmogorov assertion for continuous actions of Zn: After, We will examine the relation between the average complexity of trajectories and the complexity for Zn actions.
