Publications
Selected publications
- Eremenko's conjecture, wandering Lakes of Wada, and maverick points (Preprint - 2021)
- Wandering domains for entire functions of finite order in the Eremenko–Lyubich class (Journal article - 2018)
- The escaping set of transcendental self-maps of the punctured plane (Journal article - 2014)
2024
Bounded Fatou and Julia components of meromorphic functions
Martí-Pete, D., Rempe, L., & Waterman, J. (n.d.). Bounded Fatou and Julia components of meromorphic functions. Mathematische Annalen. doi:10.1007/s00208-023-02725-4
2022
2021
2019
On the connectivity of the escaping set in the punctured plane
Evdoridou, V., Marti-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
Spiders' webs in the punctured plane
Evdoridou, V., Marti-Pete, D., & Sixsmith, D. J. (2020). SPIDERS' WEBS IN THE PUNCTURED PLANE. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 45, 511-531. doi:10.5186/aasfm.2020.4528
2018
Wandering domains for entire functions of finite order in the Eremenko–Lyubich class
Marti-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
2017
Escaping Fatou components of transcendental self-maps of the punctured plane
Marti-Pete, D. (2021). Escaping Fatou components of transcendental self-maps of the punctured plane. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 170(2), 265-290. doi:10.1017/S0305004119000409
2016
Dynamic rays of bounded-type transcendental self-maps of the punctured plane
Fagella, N., & Marti-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
2014
The escaping set of transcendental self-maps of the punctured plane
Marti-Pete, D. (2018). The escaping set of transcendental self-maps of the punctured plane. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 38, 739-760. doi:10.1017/etds.2016.36