Timeline for Group with 2 orbits on the nonnegative integers -- description of the orbits
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 9, 2013 at 5:42 | comment | added | Ilya Bogdanov | 1. Yes, I was looking for that, but it seems that the situation is harder here. 2. Yes, to find the density we need much more. | |
| Jun 8, 2013 at 12:00 | comment | added | Stefan Kohl♦ | Your argument that the natural densities exist looks right to me, though I don't see so far from it whether their values are rational or not. | |
| Jun 8, 2013 at 12:00 | comment | added | Stefan Kohl♦ | +1. -- Thank you very much! -- Your function $f$ is notably nicer and easier to analyze than the one I had. -- My algorithms produced another such $f$, also with modulus 6, but one had to raise it to the 6th power in order to obtain a mapping which maps all sufficiently large $n$ to smaller numbers, which raised the modulus to 162. It would be nice to see a description of the orbits in an explicit way, i.e. not involving sequences (e.g. for some other such groups an orbit invariant is the parity of the sum of the binary digits, etc.). | |
| Jun 8, 2013 at 7:50 | history | edited | Ilya Bogdanov | CC BY-SA 3.0 |
added 6 characters in body
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| Jun 8, 2013 at 7:44 | history | answered | Ilya Bogdanov | CC BY-SA 3.0 |