Imaginary iterates of exponentiation
#9
(06/29/2022, 11:04 AM)Gottfried Wrote: Perhaps an additionally illustrating discussion in mathoverflow from 2011:

"Do complex iterations of functions have any meaning?"                   

1)  Question by Anixx  (see some graphic of similar style as given here)               
2)  Answer by me (Gottfried Helms)  (as well one picture)               
3)  A long & detailed (recent! 2022) answer by Tom Copeland . (Also referring some unclear points in my answer of 2011) 

[...]
Perhaps a more expanded, systematic and visual presentation would be good for us all ...

Gottfried

Those are great links, thanks for collecting them. Your material is great and intuitive, also thanks for reminding me of Copeland's great answer, I forgot about it.
Ofc, a more systematic and visual presentations woul be beneficial for everyone... but who has the time for it?

Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)

\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
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Messages In This Thread
Imaginary iterates of exponentiation - by jaydfox - 09/12/2007, 07:13 AM
RE: Imaginary iterates of exponentiation - by MphLee - 06/30/2022, 10:13 PM

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