Abstract:
Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduce into the context of complex dynamics, a new approximation tool allowing us to construct new examples of entire functions and show new possible dynamical behaviours. In particular, we answer a question of Rippon and Stallard from 2012 about unbounded wandering domains with unbounded orbits, and provide a collection of examples supporting a conjecture of Baker.
This talk is based on a joint work with V. Evdoridou, and L Pardo-Sim on , and will be given in 'colloquium style', i.e., all the definitions and basic concepts will be discussed during the talk.
