Research outputs

Selected research outputs

Wandering domains for entire functions of finite order in the Eremenko–Lyubich class (Journal article - 2020)
The escaping set of transcendental self-maps of the punctured plane (Journal article - 2018)
Eremenko’s conjecture, wandering Lakes of Wada, and maverick points (Journal article - 2025)
Bounded Fatou and Julia components of meromorphic functions (Journal article - 2025)

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Journal

Preprint

2026

Wandering dynamics of transcendental functions

DOI: 10.48550/arxiv.2602.09952
: Preprint

2025

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

Barański, K., Karpińska, B., Martí‐Pete, D., Pardo‐Simón, L., & Zdunik, A. (2025). On the dimension of the boundaries of attracting basins of entire maps. Journal of the London Mathematical Society, 112(6). doi:10.1112/jlms.70349

DOI: 10.1112/jlms.70349
: Journal article

Eremenko’s conjecture, wandering Lakes of Wada, and maverick points

Marti-Pete, D., Rempe, L., & Waterman, J. (2025). Eremenko's conjecture, wandering Lakes of Wada, and maverick points. Journal of The American Mathematical Society.

DOI: 10.1090/jams/1049
: Journal article

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

DOI: 10.48550/arxiv.2504.11142
: Preprint

Bounded Fatou and Julia components of meromorphic functions

Martí-Pete, D., Rempe, L., & Waterman, J. (2024). Bounded Fatou and Julia components of meromorphic functions. Mathematische Annalen. doi:10.1007/s00208-023-02725-4

DOI: 10.1007/s00208-023-02725-4
: Journal article

2021

Escaping Fatou components of transcendental self-maps of the punctured plane

MARTÍ-PETE, D. (2021). Escaping Fatou components of transcendental self-maps of the punctured plane. Mathematical Proceedings of the Cambridge Philosophical Society, 170(2), 265-289. doi:10.1017/s0305004119000409

DOI: 10.1017/S0305004119000409
: Journal article

On the connectivity of the escaping set in the punctured plane

Evdoridou, V., Martí-Pete, D., & Sixsmith, D. J. (2021). On the connectivity of the escaping set in the punctured plane. Collectanea Mathematica, 72(1), 109-127. doi:10.1007/s13348-020-00282-6

DOI: 10.1007/s13348-020-00282-6
: Journal article

2020

Wandering domains for entire functions of finite order in the Eremenko–Lyubich class

Martí‐Pete, D., & Shishikura, M. (2020). Wandering domains for entire functions of finite order in the Eremenko–Lyubich class. Proceedings of the London Mathematical Society, 120(2), 155-191. doi:10.1112/plms.12288

DOI: 10.1112/plms.12288
: Journal article

Spiders' webs in the punctured plane

Evdoridou, V., Martí-Pete, D., & Sixsmith, D. J. (2020). Spiders' webs in the punctured plane. Annales Academiae Scientiarum Fennicae Mathematica, 45(1), 511-531. doi:10.5186/aasfm.2020.4528

DOI: 10.5186/aasfm.2020.4528
: Journal article

2018

The escaping set of transcendental self-maps of the punctured plane

MARTÍ-PETE, D. (2018). The escaping set of transcendental self-maps of the punctured plane. Ergodic Theory and Dynamical Systems, 38(2), 739-760. doi:10.1017/etds.2016.36

DOI: 10.1017/etds.2016.36
: Journal article

2017

Dynamic rays of bounded-type transcendental self-maps of the punctured plane

Fagella, N., & Martí-Pete, D. (2017). Dynamic rays of bounded-type transcendental self-maps of the punctured plane. Discrete and Continuous Dynamical Systems, 37(6), 3123-3160. doi:10.3934/dcds.2017134

DOI: 10.3934/dcds.2017134
: Journal article