P-Adic Dynamical Systems

This chapter is devoted to discrete p-adic dynamical systems, namely iteration $${x_{n + 1}} = f({x_n})$$ (3.1) of functions f : K → K on a complete non-archimedean fieldK. Mostly, we will let K be ℚ p , a finite extension of ℚ p , or ℂ p . Below, we will sometimes write “the dynamical system f (x)” when referring to the dynamical system that is described by iterations of f.