Perhaps you remember the earlier posted reference to my MSE-discussion on periodic points:
https://math.stackexchange.com/questions...function-z
A better readable pdf-version is attached.
I have discussed occurences of periodic points of arbitrary period-length, initially for base exp(1), but also played a bit with complex bases, detecting some fine "irregularities" (I feel that is a good label due to limited occurences). Work in progress, but has been suspended since last year.
More discussion on MSE: https://math.stackexchange.com/a/3713978/1714 with complex base
I'm not sure whether I've handled your specific base in one of my MSE-answers...
Gottfried
periodic points compact.pdf (Size: 309.84 KB / Downloads: 701)
https://math.stackexchange.com/questions...function-z
A better readable pdf-version is attached.
I have discussed occurences of periodic points of arbitrary period-length, initially for base exp(1), but also played a bit with complex bases, detecting some fine "irregularities" (I feel that is a good label due to limited occurences). Work in progress, but has been suspended since last year.
More discussion on MSE: https://math.stackexchange.com/a/3713978/1714 with complex base
I'm not sure whether I've handled your specific base in one of my MSE-answers...
Gottfried
periodic points compact.pdf (Size: 309.84 KB / Downloads: 701)
Gottfried Helms, Kassel