Timeline for Smoothness in Ecalle's method for fractional iterates
Current License: CC BY-SA 3.0
17 events
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| Sep 3, 2017 at 8:42 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
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| S Sep 2, 2017 at 7:09 | history | suggested | Adam |
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| Sep 2, 2017 at 5:11 | review | Suggested edits | |||
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Sep 8, 2014 at 18:09 | answer | added | Will Jagy | timeline score: 6 | |
| Sep 1, 2014 at 2:04 | comment | added | Lubin | @WillJagy, the $p$-adic situation is most nearly parallel to the last clause in your response to my comment. (But not precisely!) Anyhow, this is a case where $p$-adic analysis is much less deep than complex. | |
| Aug 31, 2014 at 19:34 | comment | added | Gottfried Helms | Everything is fine. Thank you very much! | |
| Aug 31, 2014 at 19:01 | comment | added | Will Jagy | @GottfriedHelms, got your message and sent the two jpegs in reply. Hope you got them. | |
| Aug 31, 2014 at 16:23 | comment | added | Will Jagy | @GottfriedHelms, I cannot find your email, but if you look at my profile and then look me up at the CML ams.org/cml and use the gmail address, just send me a short message so I have your address. Meanwhile, I put an excerpt with a few more pages at zakuski.utsa.edu/~jagy/other.html under the name K_C_G_book_excerpts.pdf , the jpeg will just be a little better organized for my purposes | |
| Aug 31, 2014 at 6:53 | comment | added | Gottfried Helms | Please let me see your jpegs. I think my email occurs in my profile-page. | |
| Aug 30, 2014 at 21:27 | comment | added | Will Jagy | @Lubin, thanks. Reminds me of the results of Baker and his student Liverpool, (and evidently Ecalle, independent) that either a function has no fractional iterates, or a $1/n$th fractional iterate and nothing smaller, or a $w$-th iterate for any nonzero complex number $w,$ in which case the thing was conjugate to a Moebius transformation in the first place. | |
| Aug 30, 2014 at 21:20 | comment | added | Lubin | It’s not in any sense a deep fact or result, but the corresponding $p$-adic question for the $p$-adic analytic function $x+x^2$ is easy to solve. The $1/n$-th iterate exists and is analytic in the open unit disk of $\mathbb C_p$ as long as $n$ is prime to $p$. | |
| Aug 30, 2014 at 21:06 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Aug 30, 2014 at 20:50 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Aug 30, 2014 at 20:28 | history | edited | Will Jagy | CC BY-SA 3.0 |
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| Aug 30, 2014 at 19:32 | history | asked | Will Jagy | CC BY-SA 3.0 |