Suzanne Boyd

collaborators

4 papers

math.DS2026

Paper Fortune Tellers in Julia sets of Generalized McMullen maps II: Sidecars and Zippers

Suzanne Boyd, Kelsey Brouwer

We study the family of complex rational functions known as Generalized McMullen maps, F(z) = z^n + a/z^n+b, for integer n at least 3 fixed, and complex parameters a, b with a nonze…

math.DS2026

Exploring baby Julia sets in parameter space slices for Generalized McMullen Maps

Suzanne Boyd, Kelsey Brouwer, Matthew Hoeppner

For the family of complex rational functions of the form R(z)= z^n + a/z^n+b, known as "Generalized McMullen maps", for non-zero a, and integer n fixed and at least 3, we describe…

math.DS2025

Baby Mandelbrot sets and Spines in some one-dimensional subspaces of the parameter space for generalized McMullen Maps

Suzanne Boyd, Matthew Hoeppner

For the family of complex rational functions of the form $R_{n, c, a} (z) = z^{n} + \frac{a}{z ^{n}} + c$ , known as ``Generalized McMullen maps'', for $a \neq = 0$ and $n \geq 3$ fixed, we stu…

math.DS2025

Paper Fortune Tellers in the combinatorial dynamics of some generalized McMullen maps with both critical orbits bounded

Suzanne Boyd, Kelsey Brouwer

For the family of complex rational functions known as "Generalized McMullen maps", F(z) = z^n + a/z^n+b, for complex parameters a and b, with a nonzero, and any integer n at least…