01/08/2015, 03:02 PM
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/...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
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/...nk-is-anot
The question is the following:
1 - If
2 - exist a map
prove that
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
MSE MphLee
Mother Law \((\sigma+1)0=\sigma (\sigma+1)\)
S Law \(\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)\)
