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[MSE] Shape of orbit of iterations with base b on Shell-Thron-region
#1
In MSE I've started a discussion providing also some pictures on the properties of shapes of the orbits 0 \to 1 \to b \to b^b \to ... and in which way there occurs "divergence". Such "divergence" has been proven for classes of bases b on boundary of the Shell-Thron-region by I.N.Baker & Rippon in 1983 and according to Sheldonison has been thoroughly        investigated by J.C.Yoccoz .                      

See here: https://math.stackexchange.com/q/3323851                

Possibly I can take some pictures here, but the transfer of the mathjax-formulae is a visual horror for me... Conclusions I might transfer to this place if the discussion has some sufficient finishing.                     


Gottfried

Additional material:               

  http://go.helms-net.de/math/tetdocs/_equ...quator.pdf       an earlier article of mine as first approximation to the problem                    

  https://math.stackexchange.com/q/1820410/1714                                      

  https://math.stackexchange.com/questions...it-chaotic
Gottfried Helms, Kassel
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Messages In This Thread
[MSE] Shape of orbit of iterations with base b on Shell-Thron-region - by Gottfried - 08/17/2019, 02:08 PM

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