5 papers
Puzzle Pieces, Bi-accessibility, and Connectivity of the Julia Set for Generalized Blaschke Products
Melida Carranza Trejo, Monica Moreno Rocha
We study the dynamics of a parametric family of rational functions of odd degree, where each function is a generalized Blaschke product that maps the unit circle onto itself. The a…
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…
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…
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…
Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps
Antonio Garijo, Xavier Jarque, Monica Moreno Rocha
We consider the family of transcendental entire maps given by where is a complex parameter. Every map has a superattracting fixed point at a…