English

Distribution of polynomials with cycles of given multiplier

Dynamical Systems 2009-07-02 v1 Complex Variables

Abstract

In the family of degree dd polynomials the hypersurfaces defined by the existence of a cycle of period nn and multiplier eiθe^{i\theta} are shown to equiditribute the bifurcation current.

Keywords

Cite

@article{arxiv.0907.0011,
  title  = {Distribution of polynomials with cycles of given multiplier},
  author = {Giovanni Bassanelli and Francois Berteloot},
  journal= {arXiv preprint arXiv:0907.0011},
  year   = {2009}
}