List questions from complex-dynamics

Published on 21 Sep 2018 - 17:43

181

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Given a complex number $c_1$, is there a theorem, or any other way that guarantees that $c_1$ belongs to at least one Julia set?

Published on 21 Sep 2018 - 22:07

215

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Mandelbrot set reference to get started

Published on 02 Oct 2018 - 15:40

678

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Difference between limbs and bulbs in Mandelbrot Set

Published on 23 Oct 2018 - 12:10

2.4k

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Are there any unique places in the Mandelbrot Set that have not yet been seen graphically?

Published on 01 Nov 2018 - 1:54

544

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Perturbation theory to speed up Julia fractal drawing

Published on 25 Mar 2026 - 6:12

292

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Existence of fixed simple closed curve by polynomials

Published on 19 Nov 2018 - 15:49

147

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Equipotential curves of a Julia set

Published on 04 Dec 2018 - 12:10

1.7k

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Mandelbrot set perturbation theory: When do I use it?

Published on 25 Mar 2026 - 7:42

189

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Preimage of circle with critical point and its image inside is simple and closed

Published on 01 Feb 2019 - 13:33

122

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Boundary of basin of attraction of $\infty$ = closure of repelling periodic points.

Published on 03 Feb 2019 - 16:35

244

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Area of Mandelbrot set: Uniform convergence in Laurent series method

Published on 12 Feb 2019 - 21:32

116

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Proof that $\bar D(-1,\frac14)$ lies inside the Mandelbrot set

Published on 19 Feb 2019 - 11:13

101

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Formal group law and Koenigs function conjecture !?

Published on 01 Mar 2026 - 2:34

62

Views

$\phi_{n+1}(z)-\phi_n(z)$ converges uniformly then $\phi_n(z)$ converges uniformly?

Published on 24 Feb 2019 - 12:03

List Question

Julia set equality proof

Given a complex number $c_1$, is there a theorem, or any other way that guarantees that $c_1$ belongs to at least one Julia set?

Mandelbrot set reference to get started

Difference between limbs and bulbs in Mandelbrot Set

Are there any unique places in the Mandelbrot Set that have not yet been seen graphically?

Perturbation theory to speed up Julia fractal drawing

Existence of fixed simple closed curve by polynomials

Equipotential curves of a Julia set

Mandelbrot set perturbation theory: When do I use it?

Preimage of circle with critical point and its image inside is simple and closed

Boundary of basin of attraction of $\infty$ = closure of repelling periodic points.

Area of Mandelbrot set: Uniform convergence in Laurent series method

Proof that $\bar D(-1,\frac14)$ lies inside the Mandelbrot set

Formal group law and Koenigs function conjecture !?

$\phi_{n+1}(z)-\phi_n(z)$ converges uniformly then $\phi_n(z)$ converges uniformly?

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