2 papers
math.DS2025
Julia sets appear quasiconformally in the Mandelbrot set, II: A parabolic proof
Tomoki Kawahira, Masashi Kisaka
Following the ideas of A.~Douady, we give an alternative proof of the authors' result: for any boundary point of the Mandelbrot set , we can find small quasiconformal copi…
math.DS2018
Julia sets appear quasiconformally in the Mandelbrot set
Tomoki Kawahira, Masashi Kisaka
In this paper we prove the following: Take any "small Mandelbrot set" and zoom in a neighborhood of a parabolic or Misiurewicz parameter in it, then we can see a quasiconformal ima…