English

Rational Misiurewicz maps are rare II

Dynamical Systems 2008-02-11 v2

Abstract

We show that the set of Misiurewicz maps has Lebesgue measure zero in the space of rational functions for any fixed degree greater than or equal to 2 (generalising the earlier version math.DS/0701382).

Keywords

Cite

@article{arxiv.math/0703306,
  title  = {Rational Misiurewicz maps are rare II},
  author = {Magnus Aspenberg},
  journal= {arXiv preprint arXiv:math/0703306},
  year   = {2008}
}

Comments

To appear in Communications of Mathematical Physics

R2 v1 2026-07-22T17:52:28.610Z