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math.DS2018★ 1 cited
Local connectivity of the Mandelbrot set at some satellite parameters of bounded type
Dzmitry Dudko, Mikhail Lyubich
We explore geometric properties of the Mandelbrot set M, and the corresponding Julia sets J_c, near the main cardioid. Namely, we establish that: a) M is locally connected at certa…
math.GR2018
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence
Laurent Bartholdi, Dzmitry Dudko
Let be a Thurston map and let be its mapping class biset: isotopy classes rel of maps obtained by pre- and…