Timeline for Generalizations and relative applications of Fekete's subadditive lemma
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 30, 2016 at 3:50 | comment | added | Martin Sleziak | Perhaps this could count as a generalization: Fekete's lemma for real functions (math.SE). | |
| Apr 9, 2016 at 17:44 | vote | accept | Salvo Tringali | ||
| Feb 20, 2013 at 14:18 | answer | added | Jairo Bochi | timeline score: 5 | |
| Jun 8, 2012 at 20:30 | answer | added | Denis Serre | timeline score: 4 | |
| Jun 8, 2012 at 18:58 | answer | added | user22980 | timeline score: 2 | |
| Jun 8, 2012 at 17:57 | comment | added | Salvo Tringali | Thank you, Denis, this definitely fills the bill. Yet, unless I'm misunderstanding your thoughts, I can't figure out by myself how to use Fekete's result to prove the existence of the relevant limit in the definition of the rotation number. How do you show that, given $f: \mathbb{S}^1 \to \mathbb{S}^1$ an orientation-preserving homeomorphism of the circle, $F: \mathbb{R} \to \mathbb{R}$ a continuous lift of $f$ and $x$ an arbitrary point in $\mathbb{S}^1$, it is $F^{m+n}(x) \bmod 1 \le F^{m}(x) \bmod 1 + F^{n}(x) \bmod 1$ for all $m, n \in \mathbb{N}$? | |
| Jun 8, 2012 at 16:19 | comment | added | Denis Serre | Another crucial application is the definition of the rotation number for a diffeomorphism of the circle. | |
| Jun 8, 2012 at 16:18 | comment | added | Denis Serre | I did not know that it bear the name of Fekete. This reminds me the following: one of my best reknowned colleague once submitted a paper where he used the lemma. The referee suggested rejection because it was stated without proof! | |
| Jun 8, 2012 at 15:14 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
Corrected spelling
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| Jun 8, 2012 at 14:28 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
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| Jun 8, 2012 at 14:16 | history | edited | Salvo Tringali | CC BY-SA 3.0 |
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| Jun 8, 2012 at 14:08 | history | asked | Salvo Tringali | CC BY-SA 3.0 |