English

Bounded hyperbolic components of quadratic rational maps

Dynamical Systems 2009-09-25 v1

Abstract

Let H{\cal H} be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that H{\cal H} has compact closure in moduli space if and only if neither attractor is a fixed point.

Keywords

Cite

@article{arxiv.math/9709225,
  title  = {Bounded hyperbolic components of quadratic rational maps},
  author = {Adam L. Epstein},
  journal= {arXiv preprint arXiv:math/9709225},
  year   = {2009}
}