Preperiodic points of polynomial dynamical systems over finite fields

Aaron Andersen, Derek Garton

For a prime $p$, positive integers $r,n$, and a polynomial $f$ with coefficients in ${\mathbb{F}}_{p^r}$, let $W_{p,r,n}(f)=f^n\left(\mathbb{F}_{p^r}\right)\setminus f^{n+1}\left(\ma…