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arxiv: math/0608392 · v1 · submitted 2006-08-15 · 🧮 math.HO · math.DS

Playing with the critical point. An experiment with the Mandelbrot set connectivity

classification 🧮 math.HO math.DS
keywords connectivitycriticalmandelbrotpointacrossattackbreaksclassic
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By means of a graphical journey across the Mandelbrot set for the classic quadratic iterator $f(z):z^2+q$, we illustrate how connectivity breaks as the seed $z_0$ is no longer at the critical point of $f(z)$. Finally we suggest an attack to the MLC conjecture.

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