2023/11/07 by Christina Victor, Nopal-Coello, Víctor +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #11S82 #37P05 #37P20 #Caveolin-1 and cellular processes #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2311.04363
openalex publication_date 2023/11/07 · openalex created_date 2023/11/10 · openalex updated_date 2026/07/28
This research proposes a new method for approximating the solution of the inverse problem of finding a rational function that generates known local dynamics within distinct, disjoint closed balls in non-Archimedean fields. Although our approach is not directly influenced by Runge's theorem for approximating analytic maps in complex settings, it shares similarities by adapting these ideas to the non-Archimedean context. We aim to connect local dynamic behaviors, similar to dynamic surgery, without using quasiconformal but rational mappings. Our main theorem and corollaries present an algorithmic technique to construct a rational function, denoted as \(Fε\), that synthesizes specified local dynamics with an \(ε\)-precision parameter globally.