Baby Mandelbrot centers in the generalized McMullen subfamily
Baby Mandelbrot centers in the generalized McMullen subfamily
For each , consider the family in the -plane and the parameters associated with the potential centers of hyperbolic components, where is odd and . Baby Mandelbrot center conjecture. The parameters with odd indices are each centers of a baby Mandelbrot set in the -plane for the family ; the parameters and are excluded. The claim is presented as a suggestion based on the preceding dynamical analysis, and no proof or resolution is supplied.
Sources & referencesView supporting material
Primary source
Suzanne Boyd, Kelsey Brouwer and Matthew Hoeppner, “Exploring baby Julia sets in parameter space slices for Generalized McMullen Maps”, arXiv:2512.06992 (2026).
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