18 citations · 65 across the 24 of their papers we have counts for
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math.DS2009
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.
math.DS2009
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-…
math.DS2009★ 16 cited
Entire functions with Julia sets of positive measure
Magnus Aspenberg, Walter Bergweiler
Let f be a transcendental entire function for which the set of critical and asymptotic values is bounded. The Denjoy-Carleman-Ahlfors theorem implies that if the set of all z for w…