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arXiv · 1411.5565

Dynamics of annulus coverings II: periodic points

Jorge Iglesias·Aldo Portela·Alvaro Rovella·Juliana Xavier
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Abstract

Let $f$ be a covering map of the open annulus $A= S^1\times (0,1)$ of degree $d$ , $|d|>1$. Assume that $f$ preserves an essential (i.e not contained in a disk of $A$) compact subset $K$. We show that $f$ has at least the same number of periodic points in each period as the map $z^d$ in $S^1.$

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Jorge Iglesias, Aldo Portela, Alvaro Rovella, Juliana Xavier. 2014-11-20. Dynamics of annulus coverings II: periodic points. https://arxiv.org/abs/1411.5565

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