English

Computable geometric complex analysis and complex dynamics

Complex Variables 2017-03-21 v1

Abstract

We discuss computability and computational complexity of conformal mappings and their boundary extensions. As applications, we review the state of the art regarding computability and complexity of Julia sets, their invariant measures and external rays impressions.

Keywords

Cite

@article{arxiv.1703.06459,
  title  = {Computable geometric complex analysis and complex dynamics},
  author = {Cristobal Rojas and Michael Yampolsky},
  journal= {arXiv preprint arXiv:1703.06459},
  year   = {2017}
}