Timeline for Random walk by simplex vertices
Current License: CC BY-SA 3.0
4 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Dec 15, 2013 at 13:22 | comment | added | Ben Barber | Representations of points in the $\mathbb Z^{r+1}$ picture are only unique up to multiples of $\sum_{i=0}^r v_i$, so hitting the main diagonal corresponds to returning to the origin. (Compare to your sequences in which each value appears equally often.) Yes, recurrent means exactly that you will return to where you started infinitely often with probability 1. | |
| Dec 15, 2013 at 13:08 | comment | added | Dylan Pizzo | I actually want to know if it reaches the origin in particular, not just the main diagonal. I don't really know the term recurrent, but after looking it up on wikipedia, it sounds like it means it has 0 probability of going off to infinity, is that correct? By the way, thanks for the picture, that is perfectly accurate. | |
| Dec 15, 2013 at 11:50 | history | answered | Ben Barber | CC BY-SA 3.0 |