$p$-adic rational maps having empty Fatou set

Autor:	Fan, Aihua, Fan, Shilei, Mwanis, Yahia, Wang, Yuefei
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Primary 37P05 Secondary 11S82 37B05
Druh dokumentu:	Working Paper
Popis:	On any finite algebraic extension $K$ of the field $\Q_p$ of $p$-adic numbers, there exist rational maps $\phi\in K(z)$ such that dynamical system $(\mathbb{P}^{1}(K),\phi)$ has empty Fatou set, i.e. the iteration family $\{\phi^n: n\geq 0\}$ is nowhere equicontinuous.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.06314 Zobrazit plný text záznamu View this record from Arxiv