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20242026
most citedBaby Mandelbrot sets and Spines in some one-dimensional subspaces of the parameter space for generalized McMullen Maps

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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…