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math.DS2025
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…
math.DS2024
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 Ï_{a} := Ï- \int…