1 citations · 2 across the 3 of their papers we have counts for
4 papers
The Boundedness Locus and baby Mandelbrot sets for some generalized McMullen maps
Suzanne Boyd, Alexander J. Mitchell
In this paper we study rational functions of the form with fixed and at least , and hold either or fixed while the other…
On diffeomorphisms of compact 2-manifolds with all nonwandering points periodic
Suzanne Boyd, Juan L. G. Guirao, Michael W. Hero
The aim of the present paper is to study conditions under which all the non-wandering points are periodic points, for a discrete dynamical system of two variables defined on a comp…
Geometric limits of Mandelbrot and Julia sets under degree growth
Suzanne Hruska Boyd, Michael J. Schulz
First, for the family P_{n,c}(z) = z^n + c, we show that the geometric limit of the Mandelbrot sets M_n(P) as n tends to infinity exists and is the closed unit disk, and that the g…
The Medusa Algorithm for Polynomial Matings
Suzanne Hruska Boyd, Christian Henriksen
The Medusa algorithm takes as input two postcritically finite quadratic polynomials and outputs the quadratic rational map which is the mating of the two polynomials (if it exists)…