Corpus ID: 234762957

The dynamics of complex box mappings

  title={The dynamics of complex box mappings},
  author={Trevor Clark and Kostiantyn Drach and Oleg S. Kozlovski and Sebastian van Strien},
In holomorphic dynamics, complex box mappings arise as first return maps to well-chosen domains. They are a generalization of polynomial-like mapping, where the domain of the return map can have infinitely many components. They turned out to be extremely useful in tackling diverse problems. The purpose of this paper is: -To illustrate some pathologies that can occur when a complex box mapping is not induced by a globally defined map and when its domain has infinitely many components, and to… Expand