List questions from complex-dynamics

Published on 29 Aug 2013 - 18:03

566

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M-set interior point probability on the real axis

Published on 03 Sep 2013 - 22:29

445

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Show basin of attraction has only one connected component

Published on 13 Sep 2013 - 12:13

7.9k

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Simplest way to determine if a number is a member of the Mandelbrot set?

Published on 09 Nov 2013 - 16:35

606

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Given $f(z)=z^2+c$. Prove that $|z|>|c|+1$ implies $|f(z)|>|z|$

Published on 13 Nov 2013 - 19:16

4.1k

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Mandelbrot set and prime numbers

Published on 14 Dec 2013 - 20:29

811

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radius of convergence of half iterate of sinh(z)?

Published on 03 Jan 2014 - 3:01

246

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Dynamics of the repetitions of $f(z) = z^{2} +\frac{1}{4}$

Published on 14 Feb 2014 - 12:33

66

Views

For which boundaries of the Mandelbrot set are known to be parameterized by radical algebraic functions?

Published on 14 Apr 2017 - 22:38

185

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Conjecture about Jordan curve and filled Julia sets?

Published on 19 Apr 2017 - 10:43

209

Views

Looking for an example of a rationally indifferent cycle.

Published on 08 May 2017 - 13:31

335

Views

Why it is important to compute centers of hyperbolic components of Mandelbrot set?

Published on 16 May 2017 - 21:10

1.8k

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How to plot the Julia Set of $z-z^2$

Published on 19 May 2017 - 12:22

54

Views

Show that if $deg(R)=1$, then every indifferent cycle is in $F(R)$

Published on 21 May 2017 - 6:31

134

Views

Cremer Points and generic sets

Published on 22 May 2017 - 9:37

List Question

Are there an infinite number of minibrots on the real line?

M-set interior point probability on the real axis

Show basin of attraction has only one connected component

Simplest way to determine if a number is a member of the Mandelbrot set?

Given $f(z)=z^2+c$. Prove that $|z|>|c|+1$ implies $|f(z)|>|z|$

Mandelbrot set and prime numbers

radius of convergence of half iterate of sinh(z)?

Dynamics of the repetitions of $f(z) = z^{2} +\frac{1}{4}$

For which boundaries of the Mandelbrot set are known to be parameterized by radical algebraic functions?

Conjecture about Jordan curve and filled Julia sets?

Looking for an example of a rationally indifferent cycle.

Why it is important to compute centers of hyperbolic components of Mandelbrot set?

How to plot the Julia Set of $z-z^2$

Show that if $deg(R)=1$, then every indifferent cycle is in $F(R)$

Cremer Points and generic sets

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