Question

Carleman matrix for sum of two functions

score 131 · Answer 1 · 2020-08-05 18:56:13

131

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Carleman matrix for sum of two functions

Published on 05 Aug 2020 - 18:56

score 39 · Answer 2 · 2020-08-09 18:56:03

39

Views

Given an Iterated System of Functions, how to find an estimate of the fractal dimension of the image?

Published on 09 Aug 2020 - 18:56

score 43 · Answer 3 · 2020-08-22 18:30:28

43

Views

clarification of definition of ifs

Published on 22 Aug 2020 - 18:30

score 221 · Answer 4 · 2020-09-23 13:10:43

221

Views

Proving the limiting behavior of functions containing iterated trigonometric functions.

Published on 23 Sep 2020 - 13:10

score 28 · Answer 5 · 2020-09-27 08:30:12

28

Views

Are there "well-behaved" functions which iterate infinitely without repeating while also being bounded?

Published on 27 Sep 2020 - 8:30

score 231 · Answer 6 · 2020-10-20 17:05:36

231

Views

The real function $f$ such that $\log \cdots \log (f)$ is strictly convex on its domain for any number of $\log$'s

Published on 20 Oct 2020 - 17:05

score 47 · Answer 7 · 2020-11-07 06:10:52

47

Views

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

Published on 07 Nov 2020 - 6:10

score 154 · Answer 8 · 2021-01-28 03:56:29

154

Views

Are the invariant sets of all iterated function systems necessarily fractal?

Published on 28 Jan 2021 - 3:56

score 77 · Answer 9 · 2021-03-07 12:00:53

77

Views

What is the simplest function yielding Fibonacci numbers upon iteration?

Published on 07 Mar 2021 - 12:00

score 50 · Answer 10 · 2021-04-19 21:59:49

50

Views

Can any compact subset of $\mathbb{R^2}$ be written as a suitable YFS attractor?

Published on 19 Apr 2021 - 21:59

score 71 · Answer 11 · 2021-04-30 04:10:33

71

Views

Iterated function system of a compact set.

Published on 30 Apr 2021 - 4:10

score 317 · Answer 12 · 2026-02-23 13:46:25

317

Views

Does the truth of one imply the other? A simple Collatz generalization in terms of primes.

Published on 23 Feb 2026 - 13:46

score 61 · Answer 13 · 2021-06-04 00:51:13

61

Views

Limit of an iterated function system

Published on 04 Jun 2021 - 0:51

score 77 · Answer 14 · 2021-08-20 03:29:05

77

Views

Construct a function $f$ that $f(f(z))=-z(1-z)$ without using any information linked to $f(f(2))=2$

Published on 20 Aug 2021 - 3:29

score 50 · Answer 15 · 2021-10-10 13:27:37

50

Views

iterations of $f(x)=\dfrac{ax^4+bx^3+cx^2+dx+e}{a'x^3+b'x^2+c'x+d'}$

Published on 10 Oct 2021 - 13:27

List Question

Carleman matrix for sum of two functions

Given an Iterated System of Functions, how to find an estimate of the fractal dimension of the image?

clarification of definition of ifs

Proving the limiting behavior of functions containing iterated trigonometric functions.

Are there "well-behaved" functions which iterate infinitely without repeating while also being bounded?

The real function $f$ such that $\log \cdots \log (f)$ is strictly convex on its domain for any number of $\log$'s

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

Are the invariant sets of all iterated function systems necessarily fractal?

What is the simplest function yielding Fibonacci numbers upon iteration?

Can any compact subset of $\mathbb{R^2}$ be written as a suitable YFS attractor?

Iterated function system of a compact set.

Does the truth of one imply the other? A simple Collatz generalization in terms of primes.

Limit of an iterated function system

Construct a function $f$ that $f(f(z))=-z(1-z)$ without using any information linked to $f(f(2))=2$

iterations of $f(x)=\dfrac{ax^4+bx^3+cx^2+dx+e}{a'x^3+b'x^2+c'x+d'}$

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