M. Hoeppner

collaborators

2 papers

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…