58 citations · 490 across the 38 of their papers we have counts for
4 papers · 1 filter
Eremenko's conjecture, wandering Lakes of Wada, and maverick points
David Martí-Pete, Lasse Rempe, James Waterman
We develop a general technique for realising full closed subsets of the complex plane as wandering sets of entire functions. Using this construction, we solve a number of open prob…
A bouquet of pseudo-arcs
Tania Gricel Benitez, Lasse Rempe
We prove the existence of a transcendental entire function whose Julia set is a "bouquet of pseudo-arcs". More precisely, the union of the Julia set with infinity is an uncountable…
The Eremenko-Lyubich constant
Lasse Rempe
Eremenko and Lyubich proved that an entire function whose set of singular values is bounded is expanding at points where its image has large modulus. These expansion properties hav…
Non-compact Riemann surfaces are equilaterally triangulable
Christopher J. Bishop, Lasse Rempe
We show that every open Riemann surface can be obtained by glueing together a countable collection of equilateral triangles, in such a way that every vertex belongs to finitely man…