Timeline for Fatou sets and topological entropy
Current License: CC BY-SA 3.0
6 events
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Aug 23, 2013 at 20:37 | history | edited | Alexandre Eremenko | CC BY-SA 3.0 |
added 410 characters in body
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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"
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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 |