Leticia Pardo‐Simón

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math.DS2026

Transcendental correspondences: when Fuchsian groups take over basins of entire maps

Kostiantyn Drach, Sabyasachi Mukherjee, Leticia Pardo-SimÃ³n

In this paper, we initiate a systematic study of $(\infty : \infty)$ holomorphic correspondences that naturally arise as conformal combinations (matings) of transcendental entire m…

math.DS2025

On the dimension of the boundaries of attracting basins of entire maps

Krzysztof BaraÅski, BogusÅawa KarpiÅska, David MartÃ-Pete +2

Let $f : C \to C$ be a transcendental entire map from the Eremenko-Lyubich class $B$ , and let $I^¶$ be an attracting periodic point of period $p$ . We…

math.DS2025

Entire functions with Cantor bouquet Julia sets

Leticia Pardo-SimÃ³n, 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…