Talk:No wandering domain theorem

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Im not really great yet with the wiki syntax, but I belive that this theorem is very important in this field, and is one of the most important proofs in complex dynamics. Paxinum 20:35, 1 March 2007 (UTC)

OK, but the mathematician who proved it (Dennis Sulivan) already had a wikipedia article. So I put the link to that page, and added some relevant info. I will also redirect the D. Sullivan page to Dennis Sullivan, and move the content there. Hope this will do it. Turgidson 03:05, 2 March 2007 (UTC)

I realized that U must be a component of the Fatou set, but I have trouble finding a precise definition; Complex Dynamics by Carleson & Gamelin have the full proof of the theorem, but I have trouble finding the definition of component, which is one reason that I started this article, I wanted to know how to propely use it.

Oh, and I would like to use f_k instead of f^k, this is the notation used in Iteration of Rational Functions, by Beardon, and in Complex dynamics. The reason is that the derivative f'_k is easier to denote with subscripted k.

Paxinum 17:01, 2 March 2007 (UTC)

Fair enough (about the notation), especially since you have now explained it. -- Jitse Niesen (talk) 03:14, 3 March 2007 (UTC)