[MSE] Fixed point and fractional iteration of a map - Printable Version +- Tetration Forum ( https://math.eretrandre.org/tetrationforum)+-- Forum: Tetration and Related Topics ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1)+--- Forum: Mathematical and General Discussion ( https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3)+--- Thread: [MSE] Fixed point and fractional iteration of a map ( /showthread.php?tid=947) |

[MSE] Fixed point and fractional iteration of a map - MphLee - 01/08/2015
I've asked this question few days ago on MSE, is about the behaviour of the fractional iterates when there are fixed points. I know that in this forum there was alot of works on the fixed point and stuff, by I have to admit that I can't understand alot. The better strategy here would be to study some literature and start from 0, anyways at the moment I don't really have alot of time so I started with a very specific question. http://math.stackexchange.com/questions/1092871/fixed-point-and-fractional-iteration-if-fk-k-then-f1-over-nk-is-anot The question is the following: 1 - If is a fixed point of the map and .. 2 - exist a map such that (aka behaves as a -iterate of ) prove that is also a fixed point of On MSE I give a proof but I'm not sure if it is formal, if somone want to try there is a 100 reps bounty there. PS: If my proof is correct then I guess that even , , .... exc.. are all fixed points of |