18 citations · 65 across the 24 of their papers we have counts for
21 papers · 1 filter
Collet-Eckmann maps in the unicritical family
Magnus Aspenberg, Mats Bylund, Weiwei Cui
In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points…
A parameter ASIP for the quadratic family
Magnus Aspenberg, Viviane Baladi, Tomas Persson
Consider the quadratic family , for and mixing Collet--Eckmann (CE) parameters . For bounded , set $\tilde φ_{a} := φ- \int φ\,…
Slowly recurrent Collet-Eckmann maps with non-empty Fatou set
Magnus Aspenberg, Mats Bylund, Weiwei Cui
In this paper we study rational Collet-Eckmann maps for which the Julia set is not the whole sphere and for which the critical points are recurrent at a slow rate. In families wher…
Perturbations of exponential maps: Non-recurrent dynamics
Magnus Aspenberg, Weiwei Cui
We study perturbations of non-recurrent parameters in the exponential family. It is shown that the set of such parameters has Lebesgue measure zero. This particularly implies that…
Slowly recurrent Collet-Eckmann maps on the Riemann sphere
Magnus Aspenberg
In this paper we study perturbations of rational Collet-Eckmann maps for which the Julia set is the whole sphere, and for which the critical set is allowed to be slowly recurrent.…
Hausdorff dimension of escaping sets of meromorphic functions II
Magnus Aspenberg, Weiwei Cui
A function which is transcendental and meromorphic in the plane has at least two singular values. On one hand, if a meromorphic function has exactly two singular values, it is know…