English

Hubbard forests

Dynamical Systems 2009-09-25 v1

Abstract

The theory of Hubbard trees provides an effective classification of non-linear post-critically finite polynomial maps from \C to itself. This note will extend this classification to the case of maps from a finite union of copies of \C to itself. Maps which are post-critically finite and nowhere linear will be characterized by a ``forest'', which is made up out of one tree in each copy of \C.

Keywords

Cite

@article{arxiv.math/9208204,
  title  = {Hubbard forests},
  author = {Alfredo Poirier},
  journal= {arXiv preprint arXiv:math/9208204},
  year   = {2009}
}