4 papers
A finite-order answer to a problem of ErdÅs on maximum modulus points
Leticia Pardo-Simón, David J. Sixsmith
In 1964, ErdÅs asked whether, for a non-monomial entire function, the number of maximum modulus points on the circle \(|z|=r\) can become arbitrarily large as . In 196…
Transcendental correspondences: when Fuchsian groups take over basins of entire maps
Kostiantyn Drach, Sabyasachi Mukherjee, Leticia Pardo-Simón
In this paper, we initiate a systematic study of holomorphic correspondences that naturally arise as conformal combinations (matings) of transcendental entire m…
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…
Entire functions with Cantor bouquet Julia sets
Leticia Pardo-Simón, Lasse Rempe
A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint-type function of finite order is a…