List questions from complex-dynamics

Published on 14 Apr 2026 - 7:35

993

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Integral over filled Julia sets

Published on 10 Apr 2026 - 23:26

3.1k

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Supremum of all y-coordinates of the Mandelbrot set

Published on 17 Apr 2026 - 12:35

101

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software for studying Newton iterates of complex map $z \mapsto -a + 1/z + b/(1+z)$

Published on 10 Apr 2026 - 19:16

11.8k

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Finding the all roots of a polynomial by using Newton-Raphson method.

Published on 10 Apr 2026 - 1:41

259

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Show that $-2, -1, 0, i$ lies in the Mandelbrot set but that $1$ lies outside of it

Published on 15 Apr 2026 - 0:00

1.1k

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Is it possible to prove that some point belongs to Mandelbrot set? Is this an example of Gödel's theorem?

Published on 16 Apr 2026 - 6:17

486

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Mandelbrot and Julia Set

Published on 15 Apr 2026 - 14:29

788

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Convex hull of the Mandelbrot set

Published on 14 Apr 2026 - 21:54

345

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About fractional iterations and improper integrals

Published on 10 Apr 2026 - 9:31

500

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prove conjecture; the limit of iterating is $\sqrt{z^2 - 2}$

Published on 16 Apr 2026 - 14:24

165

Views

Show that a Herman ring cannot occur for a polynomial

Published on 25 Mar 2026 - 14:21

120

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Is there a recipe to build the petals in complex dynamics?

Published on 25 Mar 2026 - 17:37

212

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An heuristic description of parabolic points in rational iteration theory

Published on 25 Mar 2026 - 14:27

44

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Simple ways for checking if a point is not in a multibrot set

Published on 25 Mar 2026 - 14:20

List Question

Period doubling bifurcation in a quadratic map

Integral over filled Julia sets

Supremum of all y-coordinates of the Mandelbrot set

software for studying Newton iterates of complex map $z \mapsto -a + 1/z + b/(1+z)$

Finding the all roots of a polynomial by using Newton-Raphson method.

Show that $-2, -1, 0, i$ lies in the Mandelbrot set but that $1$ lies outside of it

Is it possible to prove that some point belongs to Mandelbrot set? Is this an example of Gödel's theorem?

Mandelbrot and Julia Set

Convex hull of the Mandelbrot set

About fractional iterations and improper integrals

prove conjecture; the limit of iterating is $\sqrt{z^2 - 2}$

Show that a Herman ring cannot occur for a polynomial

Is there a recipe to build the petals in complex dynamics?

An heuristic description of parabolic points in rational iteration theory

Simple ways for checking if a point is not in a multibrot set

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