Timeline for Does a random walk on a surface visit uniformly?
Current License: CC BY-SA 4.0
7 events
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| Jun 9, 2021 at 21:51 | history | edited | R W | CC BY-SA 4.0 |
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| Jun 7, 2021 at 16:08 | comment | added | Daniel Asimov | Of course, if the manifold is a circle of circumference C, then steps of size C/n for a positive integer n will not result in an asymptotically uniform distribution of footprints. | |
| Jun 6, 2021 at 23:07 | vote | accept | Joseph O'Rourke | ||
| Jun 6, 2021 at 13:15 | comment | added | R W | @Pierre PC - In our case there is no difference between "almost every initial point" and "every initial point" as the transition operator behaves like the one with absolutely continuous transition probabilities (because the 2 step transition probabilities have a uniformly bounded away from 0 absolutely continuous part). | |
| Jun 6, 2021 at 13:04 | history | edited | R W | CC BY-SA 4.0 |
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| Jun 6, 2021 at 8:34 | comment | added | Pierre PC | I might be wrong, but I think the paper only shows that the result is true for almost every initial point on the manifold. | |
| Jun 6, 2021 at 5:19 | history | answered | R W | CC BY-SA 4.0 |