ABSTRACT
This chapter examines the measurable dynamics, such as ergodicity, recurrence and stability. According to Sullivan, there are several possible ways of defining ergodicity. It examines the ergodicity of transcendental functions. One of the most effective algorithms for finding the zeros of g is the Newton iteration or Newton method. The chapter discusses random dynamical systems formed by a set of finite meromorphk functions. This is somewhat like Barnsley’s Iterated Function Systems (IFS), who use IFS, a set of finite contract affine mappings, to generate fractal modeling images of the world.
