3 papers
math.DS2026
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…
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
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…