415 citations · 1.2k across the 61 of their papers we have counts for
5 papers · 2 filters
Quasiconformal surgery and linear differential equations
Walter Bergweiler, Alexandre Eremenko
We describe a new method of constructing transcendental entire functions such that the differential equation has two linearly independent solutions with relatively fe…
Lebesgue measure of escaping sets of entire functions of completely regular growth
Walter Bergweiler, Igor Chyzhykov
We give conditions ensuring that the Julia set and the escaping set of an entire function of completely regular growth have positive Lebesgue measure. The essential hypotheses are…
Entire functions with two radially distributed values
Walter Bergweiler, Alexandre Eremenko, Aimo Hinkkanen
We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functio…
Green's function and anti-holomorphic dynamics on a torus
Walter Bergweiler, Alexandre Eremenko
We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on th…
Hausdorff measure of hairs without endpoints in the exponential family
Walter Bergweiler, Jun Wang
Devaney and Krych showed that for the Julia set of consists of pairwise disjoint curves, called hairs, which connect finite points, called the endpoints of the hai…