35 citations · 339 across the 46 of their papers we have counts for
Showing 1999 · math.DSShow all
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math.DS1999★ 15 cited
On Fibers and Renormalization of Julia Sets and Multibrot Sets
Dierk Schleicher
We continue the description of Mandelbrot and Multibrot sets and of Julia sets in terms of fibers which was begun in IMS preprints 1998/12 and 1998/13a. The question of local conne…
math.DS1999
On Fibers and Local Connectivity of Mandelbrot and Multibrot Sets
Dierk Schleicher
We give new proofs that the Mandelbrot set is locally connected at every Misiurewicz point and at every point on the boundary of a hyperbolic component. The idea is to show ``shrin…
math.DS1999★ 9 cited
On Fibers and Local Connectivity of Compact Sets in C
Dierk Schleicher
A frequent problem in holomorphic dynamics is to prove local connectivity of Julia sets and of many points of the Mandelbrot set; local connectivity has many interesting implicatio…