arXiv:1906.06394 Abstract | arXiv Analytics

arXiv:1906.06394 [math.DS]Abstract References Reviews Resources

Shadowing Property for the free group acting in the circle

Published 2019-06-14Version 1

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.

Categories: math.DS

Keywords: shadowing property, free group acting, cantor set, minimal set

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