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13 votes

Sweep-segment bot: Will this random walk sweep the plane?

Let us call $[A_n,B_n]$ the segment at time $n$. Then, for all $n \ge 1$: 1) $A_n$ is chosen uniformly on the circle of radius $1$ centred at $A_{n-1}$ (independently of the past). 2) $B_n=A_{n-1}$. …
George Lowther's user avatar