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2 | typos: sphere->circle. spelling. | ||
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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 sphere circle of radius $1$ centred at $A_{n-1}$ (independtly independently of the past). 2) $B_n=A_{n-1}$. Therefore $A_n$ performs a simple random walk. |
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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 sphere of radius $1$ centred at $A_{n-1}$ (independtly of the past). 2) $B_n=A_{n-1}$. Therefore $A_n$ performs a simple random walk. |
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