Talk:Classification of Fatou components

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[edit] Merge

Should this be merged with the No Wandering Domains article? SmaleDuffin 15:51, 3 April 2007 (UTC)

That is an idea, since both is about rational maps.
Maybe just call the page Iterations of rational functions
So that more facts can be added (such that the number of fatou components of a rational map can only be 0,1,2 or infinitley many) etc. I support the idea, but I am not so skilled with wiki yet so that I can
do the change. Be sure to check all incoming link, so they direct to the right part of the page.

Paxinum 18:58, 3 April 2007 (UTC)


Is there anyone here that have examples of maps that contains any of the first 3? Attracting point-components are the most common, but what about the other ones? Paxinum 10:31, 6 June 2007 (UTC)

I can write down some examples. This article is OK as far as it is better expressed (now I'm in a hurry but maybe I'll fix it later) as transcendental entire functions have wandering domains, which are part of Fatou components. (RBerenguel 10:33, 3 September 2007 (UTC)).