3 papers
math.DS2026
Dynamics of Newton's method for odd and even elliptic functions
Adrián Esparza-Amador, Mónica Moreno Rocha
We investigate Newton's method applied to any odd or any even elliptic function with an arbitrary period lattice. For any function of this type whose set of poles coincides with it…
math.DS2024
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…
math.DS2018
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…