4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps
Mats Bylund
In this short note we observe that within the family of slowly recurrent rational maps on the Riemann sphere, the Collet-Eckmann, second Collet-Eckmann, and topological Collet-Eckm…
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…
Critical recurrence in the real quadratic family
Mats Bylund
We study recurrence in the real quadratic family and give a sufficient condition on the recurrence rate of the critical orbit such that, for almost every nonregular paramet…