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 Periodic analytic iterations by Riemann mapping tommy1729 Ultimate Fellow Posts: 1,668 Threads: 368 Joined: Feb 2009 03/02/2016, 01:26 PM (This post was last modified: 03/05/2016, 10:06 PM by tommy1729.) Let r denote riemann mapping. r' denotes the functional inverse of r. Let j be An analytic jordan curve around the origin. R maps j to the unit circle. Let r'(1) be the starting point A. then iterations f^[x](r'(1)) with x > 0 ( real ) are periodic and analytic iff F(z) = r' ( T ( r) ). Where T is a complex number on the unit circle. I think this is correct. This seems to suggest exp has no periodIC iterational Jordan curve away from its fixpoints. Regards Tommy1729 tommy1729 Ultimate Fellow Posts: 1,668 Threads: 368 Joined: Feb 2009 03/05/2016, 10:07 PM Strongly related http://math.eretrandre.org/tetrationforu...p?tid=1038 Regards Tommy1729 « Next Oldest | Next Newest »

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