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Timeline for Fatou sets and topological entropy

Current License: CC BY-SA 3.0

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Aug 23, 2013 at 20:37 history edited Alexandre Eremenko CC BY-SA 3.0
added 410 characters in body
Aug 23, 2013 at 20:24 comment added Alexandre Eremenko Margaret, thanks for the correction. There ARE attempts to extend the Fatou-Julia theory to some real manifolds, like $R^n$ or $S^n$ but there is no generally accepted definition of the Julia set in such generality yet. At least I don't know of such a definition. So I think the author of the question should state preceisely what he means.
S Aug 23, 2013 at 15:25 history suggested Margaret Friedland CC BY-SA 3.0
``topological degree" should be ``topological entropy"
Aug 23, 2013 at 15:04 comment added Margaret Friedland In the last sentence, you meant "topological entropy" instead of "topological degree", right? And there are generalizations of Fatou/Julia theory to real manifolds. Whether one finds them interesting or otherwise is another matter, but they are out there.
Aug 23, 2013 at 14:49 review Suggested edits
S Aug 23, 2013 at 15:25
Aug 23, 2013 at 5:49 history answered Alexandre Eremenko CC BY-SA 3.0