4 citations · 7 across the 6 of their papers we have counts for
6 papers
Rational Misiurewicz maps for which the Julia set is not the whole sphere
Magnus Aspenberg
We show that Misiurewicz maps for which the Julia set is not the whole sphere are Lebesgue density points of hyperbolic maps.
The dual nest for degenerate Yoccoz puzzles
Magnus Aspenberg
The Yoccoz puzzle is a fundamental tool in Holomorphic Dynamics. The original combinatorial argument by Yoccoz, based on the Branner-Hubbard tableau, counts the preimages of a non-…
Perturbations of rational Misiurewicz maps
Magnus Aspenberg
In this paper we investigate the perturbation properties of rational Misiurewicz maps, when the Julia set is the whole sphere (the other case is treated in [1]). In particular, we…
Rational Misiurewicz maps are rare II
Magnus Aspenberg
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 vers…
Rational Misiurewicz maps are rare
Magnus Aspenberg
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.
Mating non-renormalizable quadratic polynomials
Magnus Aspenberg, Michael Yampolsky
In this paper we prove the existence and uniqueness of matings of the basilica with any quadratic polynomial which lies outside of the 1/2-limb of M, is non-renormalizable, and doe…