Question

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

score 564 · Answer 1 · 2020-09-24 20:46:51

564

Views

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

Published on 24 Sep 2020 - 20:46

score 367 · Answer 2 · 2020-10-20 10:04:18

367

Views

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

Published on 20 Oct 2020 - 10:04

score 112 · Answer 3 · 2020-11-05 21:30:17

112

Views

How to calculate Assouad Dimension of sets

Published on 05 Nov 2020 - 21:30

score 319 · Answer 4 · 2020-12-14 15:57:39

319

Views

Integration of function using Hausdorff measure of Cantor Set

Published on 14 Dec 2020 - 15:57

score 277 · Answer 5 · 2021-02-11 16:52:30

277

Views

Do fractals necessarily have to be self-similar? What is the definition of a fractal? Is this figure a fractal?

Published on 11 Feb 2021 - 16:52

score 57 · Answer 6 · 2021-04-15 11:18:35

57

Views

Box-counting dimension: $\lim_{\delta \to 0} N_{\delta}(F)\delta^{s} = \infty$ when $s < \dim_{M}(F)$ and another similar limit.

Published on 15 Apr 2021 - 11:18

score 120 · Answer 7 · 2021-05-09 22:20:18

120

Views

Does every point in the Koch curve belong to one of its approximating polygons?

Published on 09 May 2021 - 22:20

score 245 · Answer 8 · 2021-05-12 09:13:20

245

Views

Why is it enough to consider limits as $\to 0$ through $\{_k\}$ such that $_{k+1} \ge c_k$ for some $0 < c < 1$ to find $\dim_B F$?

Published on 12 May 2021 - 9:13

score 425 · Answer 9 · 2021-06-08 14:30:11

425

Views

Koch snowflake is nowhere differentiable

Published on 08 Jun 2021 - 14:30

score 37 · Answer 10 · 2021-06-09 20:44:47

37

Views

Usage of Egoroff's Theorem in Fractal Geometry

Published on 09 Jun 2021 - 20:44

score 412 · Answer 11 · 2021-06-20 17:23:18

412

Views

Is it possible to solve differential equations on a fractal?

Published on 20 Jun 2021 - 17:23

score 72 · Answer 12 · 2021-07-13 09:35:17

72

Views

Is there an operator valued mandelbrot set?

Published on 13 Jul 2021 - 9:35

score 74 · Answer 13 · 2026-02-23 17:26:26

74

Views

Determining the fractal dimension of the series $\sum_{n=1}^{\infty} \sin{(n^2x)^2/n^3}$

Published on 23 Feb 2026 - 17:26

score 129 · Answer 14 · 2021-07-29 02:24:40

129

Views

What is the dimension of the polar fractal $\mathrm{r=\sum_{n=1}^\infty \frac{sgn(sec(n\theta))}{n}}$?

Published on 29 Jul 2021 - 2:24

score 44 · Answer 15 · 2022-03-31 19:10:46

44

Views

Inequality on the uniform norm of a conformal differentiable transformation

Published on 31 Mar 2022 - 19:10

List Question

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

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

How to calculate Assouad Dimension of sets

Integration of function using Hausdorff measure of Cantor Set

Do fractals necessarily have to be self-similar? What is the definition of a fractal? Is this figure a fractal?

Box-counting dimension: $\lim_{\delta \to 0} N_{\delta}(F)\delta^{s} = \infty$ when $s < \dim_{M}(F)$ and another similar limit.

Does every point in the Koch curve belong to one of its approximating polygons?

Why is it enough to consider limits as $\to 0$ through $\{_k\}$ such that $_{k+1} \ge c_k$ for some $0 < c < 1$ to find $\dim_B F$?

Koch snowflake is nowhere differentiable

Usage of Egoroff's Theorem in Fractal Geometry

Is it possible to solve differential equations on a fractal?

Is there an operator valued mandelbrot set?

Determining the fractal dimension of the series $\sum_{n=1}^{\infty} \sin{(n^2x)^2/n^3}$

What is the dimension of the polar fractal $\mathrm{r=\sum_{n=1}^\infty \frac{sgn(sec(n\theta))}{n}}$?

Inequality on the uniform norm of a conformal differentiable transformation

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