vix.ing · top · new · best · stats · spec

Rational Misiurewicz maps are rare

2007/01/13 by Magnus Aspenberg, Aspenberg, Magnus
Mathematics · Social Sciences · #Dynamical Systems (math.DS) #FOS: Mathematics #Historical Geography and Cartography #Language and Culture #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.math/0701382

openalex publication_date 2007/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the set of Misiurewicz maps has Lebesgue measure zero in the parameter space of rational maps for any fixed degree greater than or equal to 2.

Related