11 citations · 19 across the 12 of their papers we have counts for
13 papers
Non-analyticity of hairs of exponential maps
Weiwei Cui, Jiaxing Huang, Lingrui Wang
Let , where . In 1984, Devaney and Krych showed that the Julia set consists of pairwise disjoint hairs. Viana further in 1988 proved that these hairs are $C^{…
Ergodic exponential maps with escaping singular behaviours
Weiwei Cui, Jun Wang
We construct exponential maps for which the singular value tends to infinity under iterates while the maps are ergodic. This is in contrast with a result of Lyubich from 1987 which…
The Hausdorff dimension of escaping sets of meromorphic functions in the Speiser class
Walter Bergweiler, Weiwei Cui
Bergweiler and Kotus gave sharp upper bounds for the Hausdorff dimension of the escaping set of a meromorphic function in the Eremenko-Lyubich class, in terms of the order of the f…
Speiser meets Misiurewicz
Magnus Aspenberg, Weiwei Cui
We propose a notion of Misiurewicz condition for transcendental entire functions and study perturbations of Speiser functions satisfying this condition in their parameter spaces (i…
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…
The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class
Walter Bergweiler, Weiwei Cui
We show that for each there exists a meromorphic function such that the inverse function of has three singularities and the Julia set of has Hausdorff dime…
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…
Hausdorff dimension of escaping sets of meromorphic functions
Magnus Aspenberg, Weiwei Cui
We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values. More precisely, for any give…
Siegel disks of the tangent family
Weiwei Cui, Hongming Nie
We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a forward invariant Siegel disk is unbounded if and only if it contains at…
Hausdorff dimension of escaping sets of Nevanlinna functions
Weiwei Cui
We determine the exact values of Hausdorff dimensions of escaping sets of meromorphic functions with polynomial Schwarzian derivatives. This will follow from the relation between t…
Entire functions arising from trees
Weiwei Cui
Given any infinite tree in the plane satisfying certain topological conditions, we construct an entire function with only two critical values and no asymptotic values s…
Lebesgue measure of escaping sets of entire functions
Weiwei Cui
For a transcendental entire function of finite order in the Eremenko-Lyubich class , we give conditions under which the Lebesgue measure of the escaping set $\math…