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arXiv · 1907.02913

Mean Ergodic Shadowing

Pramod Kumar Das·Tarun Das
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Abstract

We introduce and study a new variant of shadowing namely mean ergodic shadowing. We establish relationship of this variant with several other variants of shadowing. We show that a minimal system with shadowing cannot have mean ergodic shadowing. We give a necessary and sufficient condition for an orbital limit function to have mean ergodic shadowing property.

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Pramod Kumar Das, Tarun Das. 2019-07-05. Mean Ergodic Shadowing. https://arxiv.org/abs/1907.02913

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