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Timeline for Randomly walking a leashed dog

Current License: CC BY-SA 3.0

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Mar 1, 2014 at 5:58 comment added Evan Jenkins A constrained random walk won't necessarily be uniformly distributed. Consider a (1D) random walk constrained to {-1, 0, 1}: certainly this will spend half its time in the middle! You need ergodicity (which is trivial in our case, since the dog can always stay put relative to the human) and symmetry, which really needs to be checked manually as in my answer.
Mar 1, 2014 at 4:05 comment added The Masked Avenger However, the random walk is not entirely uniform. Not only are there times when steps of length 0 allowed, aren't the steps near the boundary weighted differently?
Mar 1, 2014 at 3:56 history answered John Pardon CC BY-SA 3.0