Mareike Wolff

activity

20192022

collaborators

3 papers

math.DS2022

Transcendental Julia sets of positive finite Lebesgue measure

Mareike Wolff

We show that there exists a transcendental entire function whose Julia set has positive finite Lebesgue measure.

math.DS2021

A class of Newton maps with Julia sets of Lebesgue measure zero

Mareike Wolff

Let $g (z) = \int_{0}^{z} p (t) exp (q (t)) d t + c$ where $p, q$ are polynomials and $c \in C$ , and let $f$ be the function from Newton's method for $g$ . We show that under suitable assu…

math.DS2019

Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure

Mareike Wolff

We give conditions ensuring that the Fatou set and the complement of the fast escaping set of an exponential polynomial $f$ have finite Lebesgue measure. Essentially, these conditi…