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arXiv · 1906.06394

Shadowing Property for the free group acting in the circle

Jorge Iglesias·Aldo Portela
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Abstract

For the free group $F_2$ acting in $S^{1}$, we will prove that if the minimal set for the action is not a Cantor set, then the action does not have the shadowing property. We will also construct an example, whose minimal set is a Cantor set, that it has the shadowing property.

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Jorge Iglesias, Aldo Portela. 2019-06-14. Shadowing Property for the free group acting in the circle. https://arxiv.org/abs/1906.06394

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