Timeline for Ergodic Theory and Euler-Mascheroni Constant
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jun 14, 2021 at 21:34 | comment | added | KConrad | Why do you think it should not be hard when you can't find it done anywhere? Read mathoverflow.net/questions/129364/…. As Henry Cohn wrote in a comment there, "all irrationality questions are hard by default, and it's $e$ and $\pi$ that are special in being unusually tractable." No a priori interesting number has ever been proved normal by any method at all. See arxiv.org/abs/1303.1856 and search for "ergodic"; sure looks like slim pickings (you can google that phrase if you're not familiar with it). | |
| Jun 14, 2021 at 21:19 | comment | added | user288447 | @KConrad, is it really hard to find a way to prove irrationality or normality of a specific number by ergodic theory? At least, how can I collect all literature about appearance of Euler's constant in ergodic theory? I wanted to write a proposal for my MSc thesis. | |
| Jun 14, 2021 at 21:00 | comment | added | KConrad | Ask the question to the professor who guided you. Perhaps you had a misunderstanding, for instance. Rather than edit your last line, try shortening the earlier part or at least putting the less crucial parts of it after your question. Keep in mind that if X is proved by Y and Y is related to Z, it need not follow that X can be proved by Z. Ergodic theory is good at proving directly that almost all numbers have a property, for instance almost all numbers are normal. But nobody has proved a specific number is normal by ergodic theory (only by other methods, and only for boring numbers). | |
| Jun 14, 2021 at 20:48 | review | Close votes | |||
| Jun 16, 2021 at 19:18 | |||||
| Jun 14, 2021 at 20:44 | history | edited | user288447 | CC BY-SA 4.0 |
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| Jun 14, 2021 at 20:33 | comment | added | user288447 | @Asaf, thank you indeed for your reply. How can I edit the last line that I have asked my question? My question is actually was how can I find a paper that I cannot find if exists about the problem I asked and if there really is NO such papers why is so? I.e. is there a paper showing that ergodic theory is not applicable in that area of diophantine appr? | |
| Jun 14, 2021 at 20:27 | comment | added | Asaf | I don't really see a question here | |
| Jun 14, 2021 at 20:16 | review | First posts | |||
| Jun 14, 2021 at 21:02 | |||||
| Jun 14, 2021 at 20:08 | history | asked | user288447 | CC BY-SA 4.0 |