Timeline for Sweep-segment bot: Will this random walk sweep the plane?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Dec 10, 2010 at 22:47 | comment | added | George Lowther | Alternatively, let $B(t)$ be a 2d Brownian motion. $T_0$ = 0 and $T_{n+1}$ is the first time after $T_n$ that $\Vert B(t)-B(T_n)\Vert=1$. Then, $B(T_n)$ has the same dynamics as $A_n$ described above. As 2D Brownian motion is recurrent, this shows that $A_n$ is recurrent. | |
| Dec 10, 2010 at 22:42 | comment | added | George Lowther | Yes, this definitely shows that it will sweep the plane. | |
| Dec 10, 2010 at 22:39 | history | edited | George Lowther | CC BY-SA 2.5 |
typos: sphere->circle. spelling.
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| Dec 10, 2010 at 21:00 | comment | added | Hugh J | @Joesph : yes, circle. | |
| Dec 10, 2010 at 20:43 | comment | added | Joseph O'Rourke | @Hugh: By "sphere" do you mean "circle"? | |
| Dec 10, 2010 at 20:18 | history | answered | Hugh J | CC BY-SA 2.5 |