The average-shadowing property and topological ergodicity

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摘要

In this note we prove that a Lyapunov stable map having the average-shadowing property from a compact metric space onto itself is topologically ergodic, but it is not topologically weakly mixing.

论文关键词：37A25,34D20,The average-shadowing property,Lyapunov stable,Topologically ergodic

论文评审过程：Received 6 August 2006, Revised 26 August 2006, Available online 2 October 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.08.025