Question

Given an analytic function with $f(0) = 0$, $\Vert f'(0)\Vert= 1$, when I can I find an open invariant set?

score 50 · Answer 1 · 2020-10-13 19:45:06

50

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Given an analytic function with $f(0) = 0$, $\Vert f'(0)\Vert= 1$, when I can I find an open invariant set?

Published on 13 Oct 2020 - 19:45

score 368 · Answer 2 · 2026-02-24 00:52:10

368

Views

Can the fractal dimension of a coastline be less than 1?

Published on 24 Feb 2026 - 0:52

score 143 · Answer 3 · 2026-03-28 20:57:56

143

Views

Showing that the Sierpinski's Carpet is path-connected.

Published on 28 Mar 2026 - 20:57

score 113 · Answer 4 · 2026-02-24 00:49:16

113

Views

How to calculate Assouad Dimension of sets

Published on 24 Feb 2026 - 0:49

score 48 · Answer 5 · 2026-03-25 19:10:27

48

Views

Is there any way to figure out if a system of two recurrence relations will converge?

Published on 25 Mar 2026 - 19:10

score 162 · Answer 6 · 2020-11-09 04:17:45

162

Views

Parametrizing fractals and space filling curves

Published on 09 Nov 2020 - 4:17

score 161 · Answer 7 · 2020-11-11 15:04:25

161

Views

The Coastline Paradox and The Mandelbrot Set

Published on 11 Nov 2020 - 15:04

score 187 · Answer 8 · 2026-03-28 11:03:33

187

Views

Fractal Surface Area of Lung

Published on 28 Mar 2026 - 11:03

score 143 · Answer 9 · 2020-11-13 04:42:20

143

Views

Combinatorics / fractal geometry.

Published on 13 Nov 2020 - 4:42

score 45 · Answer 10 · 2026-03-29 03:36:05

45

Views

Does any cross section of the Sierpinski carpet yield the Cantor set?

Published on 29 Mar 2026 - 3:36

score 116 · Answer 11 · 2020-11-26 06:26:35

116

Views

Has anyone studied the set $\Big\{\sum_{k<t}e^{ik^2}\ |\ \forall t\in\mathbb{N}\Big\}$

Published on 26 Nov 2020 - 6:26

score 395 · Answer 12 · 2020-11-27 21:49:05

395

Views

Proving that the limit of the Mandelbrot polynomial's co-efficients are the Catalan numbers.

Published on 27 Nov 2020 - 21:49

score 175 · Answer 13 · 2026-03-25 13:57:56

175

Views

Koch-like fractal of the dodecahedron: Does this object already exist?

Published on 25 Mar 2026 - 13:57

score 119 · Answer 14 · 2026-03-30 06:32:07

119

Views

Why are the formal and informal definitions of fractals equivalent?

Published on 30 Mar 2026 - 6:32

score 141 · Answer 15 · 2026-03-27 04:38:35

141

Views

Looking for an example of a function with a Julia set of positive Lebesgue measure.

Published on 27 Mar 2026 - 4:38

List Question

Given an analytic function with $f(0) = 0$, $\Vert f'(0)\Vert= 1$, when I can I find an open invariant set?

Can the fractal dimension of a coastline be less than 1?

Showing that the Sierpinski's Carpet is path-connected.

How to calculate Assouad Dimension of sets

Is there any way to figure out if a system of two recurrence relations will converge?

Parametrizing fractals and space filling curves

The Coastline Paradox and The Mandelbrot Set

Fractal Surface Area of Lung

Combinatorics / fractal geometry.

Does any cross section of the Sierpinski carpet yield the Cantor set?

Has anyone studied the set $\Big\{\sum_{k<t}e^{ik^2}\ |\ \forall t\in\mathbb{N}\Big\}$

Proving that the limit of the Mandelbrot polynomial's co-efficients are the Catalan numbers.

Koch-like fractal of the dodecahedron: Does this object already exist?

Why are the formal and informal definitions of fractals equivalent?

Looking for an example of a function with a Julia set of positive Lebesgue measure.

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