2 papers
math.DS2025
On the dimension of the boundaries of attracting basins of entire maps
Krzysztof BaraÅski, BogusÅawa KarpiÅska, David MartÃ-Pete +2
Let be a transcendental entire map from the Eremenko-Lyubich class , and let be an attracting periodic point of period . We…
math.DS2024
Eremenko's conjecture, wandering Lakes of Wada, and maverick points
David MartÃ-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…