2 ms·
> in the sense that we have proved that in 3 dimensions a random walk will never return to it’s (sic.) starting point We have? I believe the probability is ~34
by dcow 8y ago
> in the sense that we have proved that in 3 dimensions a random walk will never return to it’s (sic.) starting point
We have? I believe the probability is ~34%.
http://mathworld.wolfram.com/PolyasRandomWalkConstants.html http://mathworld.wolfram.com/PolyasRandomWalkConstants.html
- hyperion2010 8y agoSorry, I had it reversed in my head. For 1 and 2 dimensions they will return to the starting point with probability 1. For 3 dimensions it simply that it is not probability 1. Obviously a weaker result.