Timeline for Sequences similar to $\{n\alpha\}$ that are both equidistributed and truly random-like
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7, 2020 at 14:29 | comment | added | Goldstern | @VincentGranville Indeed, see en.wikipedia.org/wiki/Pisot%E2%80%93Vijayaraghavan_number | |
| Dec 6, 2020 at 0:23 | comment | added | Vincent Granville | An example of $\alpha$ that fails to yield strong pseudo-randomness is $(1+\sqrt{5})/2$. Some other algebraic numbers might fail too. Almost all $\alpha$ work, but naming one explicitly may be even harder than naming one normal number explicitly, despite their abundance. | |
| Dec 6, 2020 at 0:18 | comment | added | Vincent Granville | thank you. Wondering if my definition of random-like sequence is equivalent to equidistribution in the unit cube $[0, 1]^k$ for all $k$. | |
| Dec 4, 2020 at 22:37 | history | answered | Goldstern | CC BY-SA 4.0 |