Random walks in 2 dimensions are recurrent whereas in higher dimensions random walks are not. And there is a wonderful colloquialism by Shizuo Kakutani to remember this: “A drunk man will find his way home but a drunk bird may get lost forever.”
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Reverted the change and added the attribution to indication that this is a direct quotation of Kakutani
Gabe K
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Gabe K
- 6k
- 2
- 31
- 60