CSUN Algebra, Number Theory, and Discrete Mathematics Seminar

In this talk we discuss the dynamical properties of a rational maps $f$ with exactly three ramifications points. We obtain precise information of the dynamical system on ${\mathbb{P}}^1\left(\mathbb{Q}\right)$ induced by $f$ by using results on the reduction of $f$ to positive characteristic. This is joint work with Anderson, Ejder, Girgin, Karemaker, and Manes.