4 papers
Hierarchical Expansion of Finite Discrete Dynamical Systems: A Non-Archimedean Variational Theory over Coordinate Orderings
J. Rogelio Pérez-Buendía, Víctor Nopal-Coello
A finite dynamical system on has a functional graph and combinatorial basins, but nothing on which to run the local analysis a multiplier makes possible. We supply…
Sturmian external angles of primitive components in the Mandelbrot set
Benjamín A. Itzá-Ortiz, Mónica Moreno Rocha, Víctor 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…
Wandering domains for non-archimedean quadratic rational functions
Víctor 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…
Rational maps with bad reduction and domains of quasiperiodicity
Víctor Nopal-Coello, Mónica Moreno Rocha
Consider a rational map of degree with coefficients over the non-archimedean field , with a fixed prime number. If has a cycle of Siegel disks a…