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- W4299879176 abstract "We give a framework to study the connectedness of the set of zeros of power series with coefficients in a finite subset $Gsubset mathbb{C}$. We prove that the set of zeros in the unit disk is connected and locally connected if some graph on the set $G$ of coefficients is connected. Furthermore, we apply this result to the study of the Mandelbrot set $mathcal{M}_n$ for fractal $n$-gons. We prove that $mathcal{M}_n$ is connected and locally connected for any $n$." @default.
- W4299879176 created "2022-10-03" @default.
- W4299879176 creator A5082647529 @default.
- W4299879176 date "2020-08-29" @default.
- W4299879176 modified "2023-10-16" @default.
- W4299879176 title "Mandelbrot set for fractal $n$-gons and zeros of power series" @default.
- W4299879176 doi "https://doi.org/10.48550/arxiv.2008.12915" @default.
- W4299879176 hasPublicationYear "2020" @default.
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