Question

Dimension of the graph of a Function with continuous derivative

score 546 · Answer 1 · 2017-08-25 13:28:52

546

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Dimension of the graph of a Function with continuous derivative

Published on 25 Aug 2017 - 13:28

score 540 · Answer 2 · 2017-08-28 20:31:13

540

Views

Fractal dimensional analysis?

Published on 28 Aug 2017 - 20:31

score 80 · Answer 3 · 2017-09-03 09:34:22

80

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More detail please on exactly why the Hausdorff measure is monotone decreasing?

Published on 03 Sep 2017 - 9:34

score 116 · Answer 4 · 2017-09-22 07:05:44

116

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How come Hausdorff dimension of Mandelbrot is lower than Lorenz attractor?

Published on 22 Sep 2017 - 7:05

score 48 · Answer 5 · 2017-09-22 10:54:39

48

Views

$\sum_{i\in\mathbb{N}}\text{diam}(A_i)\geq \text{diam}(I)$ when $I\subset \bigcup_{i\in \mathbb{N}} A_i$?

Published on 22 Sep 2017 - 10:54

score 59 · Answer 6 · 2017-09-24 08:19:21

59

Views

Given an arbitrary number $\delta \in (0, 1)$, are there attractors of IFS $F$ with Hausdorff dimension $HD(F) = \delta$?

Published on 24 Sep 2017 - 8:19

score 64 · Answer 7 · 2017-09-27 15:04:14

64

Views

Hausdroff convergence and interior

Published on 27 Sep 2017 - 15:04

score 1.9k · Answer 8 · 2017-09-28 20:46:37

1.9k

Views

Is the golden ratio or are spirals in general fractals? If not, why?

Published on 28 Sep 2017 - 20:46

score 263 · Answer 9 · 2017-11-09 02:20:57

263

Views

Do Mobius transformations preserve Hausdorff dimension?

Published on 09 Nov 2017 - 2:20

score 75 · Answer 10 · 2017-12-07 10:26:26

75

Views

Finiteness of the Riesz potential of the Hausdorff measure restricted to a compact set

Published on 07 Dec 2017 - 10:26

score 2.3k · Answer 11 · 2017-12-10 13:19:39

2.3k

Views

What is a two dimensional sphere in a three dimensional space?

Published on 10 Dec 2017 - 13:19

score 233 · Answer 12 · 2017-12-23 07:56:23

233

Views

Examples of $\alpha$-Hölder functions with graphs of maximal Hausdorff dimension

Published on 23 Dec 2017 - 7:56

score 1.4k · Answer 13 · 2017-12-30 23:32:16

1.4k

Views

Why does Hausdorff measure go to zero as diameter power increases?

Published on 30 Dec 2017 - 23:32

score 466 · Answer 14 · 2018-01-02 21:40:38

466

Views

Set with equal Hausdorff and topological dimension but larger box counting dimension

Published on 02 Jan 2018 - 21:40

score 676 · Answer 15 · 2018-01-06 17:33:36

676

Views

The Mandelbrot set has a well defined area. Its boundary has Hausdorff dimension 2, so what is its perimeter?

Published on 06 Jan 2018 - 17:33

List Question

Dimension of the graph of a Function with continuous derivative

Fractal dimensional analysis?

More detail please on exactly why the Hausdorff measure is monotone decreasing?

How come Hausdorff dimension of Mandelbrot is lower than Lorenz attractor?

$\sum_{i\in\mathbb{N}}\text{diam}(A_i)\geq \text{diam}(I)$ when $I\subset \bigcup_{i\in \mathbb{N}} A_i$?

Given an arbitrary number $\delta \in (0, 1)$, are there attractors of IFS $F$ with Hausdorff dimension $HD(F) = \delta$?

Hausdroff convergence and interior

Is the golden ratio or are spirals in general fractals? If not, why?

Do Mobius transformations preserve Hausdorff dimension?

Finiteness of the Riesz potential of the Hausdorff measure restricted to a compact set

What is a two dimensional sphere in a three dimensional space?

Examples of $\alpha$-Hölder functions with graphs of maximal Hausdorff dimension

Why does Hausdorff measure go to zero as diameter power increases?

Set with equal Hausdorff and topological dimension but larger box counting dimension

The Mandelbrot set has a well defined area. Its boundary has Hausdorff dimension 2, so what is its perimeter?

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