Degeneration of Dynamical Degrees in Families of Maps

Joseph H. Silverman, Gregory Call

The dynamical degree of a dominant rational map $f:{\mathbb{P}}^N\to {\mathbb{P}}^N$ is the quantity $\delta (f):=\lim (\text{deg}{f}^n{)}^{1/n}$. We study the variation of dynamical degr…