Timeline for Proof of im/possibility of constructing any fractal by iterated function systems?
Current License: CC BY-SA 3.0
12 events
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| Jun 14, 2014 at 15:33 | comment | added | Ten | Per, @MargaretFriedland Thanks for the link and the article. I have added this piece of info/counter example in the original post. | |
| Jun 14, 2014 at 0:23 | comment | added | Margaret Friedland | See also MR1686674 (2000j:28008) Kwieciński, Michał(PL-JAGL) A locally connected continuum which is not an IFS attractor. (English summary) Bull. Polish Acad. Sci. Math. 47 (1999), no. 2, 127–132. | |
| Jun 13, 2014 at 15:49 | comment | added | Per Alexandersson | It was linked under "Related" to the right here: mathoverflow.net/questions/74458/… | |
| Jun 13, 2014 at 15:37 | comment | added | Ten | Can you please link where you've asked about it? | |
| Jun 13, 2014 at 15:13 | history | edited | Per Alexandersson | CC BY-SA 3.0 |
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| Jun 13, 2014 at 15:08 | comment | added | Ten | I have made the question more precise. | |
| Jun 13, 2014 at 10:17 | comment | added | Per Alexandersson | You need to define what you mean by iteration, and what you mean by map. The midpoint displacement fractal is based on a random process, so there is no iteration of deterministic maps. | |
| Jun 13, 2014 at 9:54 | comment | added | Ten | Thanks again. So still is it possible to construct any fractal by iteration?(since existence of a construct by continuous method does not preclude the existence of an iterative procedure, unless one gives a proof otherwise) | |
| Jun 13, 2014 at 8:08 | comment | added | Per Alexandersson | @Ten: Ok, I added a response. | |
| Jun 13, 2014 at 8:07 | history | edited | Per Alexandersson | CC BY-SA 3.0 |
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| Jun 13, 2014 at 8:02 | comment | added | Ten | Thanks for the answer. Please see my reply for Qiaochu Yuan for clarification of the question. | |
| Jun 13, 2014 at 7:52 | history | answered | Per Alexandersson | CC BY-SA 3.0 |