Dynamics of annulus coverings II: periodic points
  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 $S^1.$ 
Jorge Iglesias, Aldo Portela, Alvaro Rovella and Juliana Xavier
math.DS