3 papers
math.DS2026
Hierarchical Non-Archimedean Stability of Finite Discrete Dynamical Systems: A Variational Theory over Coordinate Orderings
J. Rogelio Pérez-BuendÃa, VÃctor Nopal-Coello
We develop a non-Archimedean reading of finite discrete dynamical systems in which the order chosen on the coordinates is itself a dynamical observable. For a map $f : \mathbb{F}_p…
math.DS2024
Sturmian external angles of primitive components in the Mandelbrot set
BenjamÃn A. Itzá-Ortiz, Mónica Moreno Rocha, VÃctor Nopal-Coello
In this work we introduce the broken line construction, which is a geometric and combinatorial algorithm that computes periodic Sturmian angles of a given period, yielding the loca…
math.DS2024
Wandering domains for non-archimedean quadratic rational functions
VÃctor Nopal-Coello
Let be a complete and algebraic closed non-archimedean field with residual characteristic . In this paper we prove that there exist such that…