Timeline for Manhattan distance vs. absorption time on an unbounded integer lattice
Current License: CC BY-SA 3.0
18 events
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| Aug 23, 2017 at 16:03 | history | edited | François G. Dorais |
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Dec 5, 2012 at 17:25 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 5, 2012 at 15:18 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 5, 2012 at 13:38 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 5, 2012 at 13:36 | comment | added | FloatingForest | @Alexandre Eremenko Right, I'm having some trouble understanding how this problem works in the continuum limit, so I keep talking about Manhattan distances instead of Euclidean distances (where I'm not sure why it makes sense to talk about them on a lattice). Small $L$ means $L \leq 100$ or so. | |
| Dec 5, 2012 at 3:55 | comment | added | Alexandre Eremenko | Can you give the definition of "scale with L". Otherwise the meaning of your question is not clear. $L$ is an integer, after all, so it cannot be too small:-) | |
| Dec 4, 2012 at 22:54 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 4, 2012 at 22:04 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 4, 2012 at 17:10 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 4, 2012 at 1:13 | answer | added | Omer | timeline score: 4 | |
| Dec 3, 2012 at 21:01 | history | edited | FloatingForest | CC BY-SA 3.0 |
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| Dec 3, 2012 at 20:17 | comment | added | FloatingForest | @Alexandre Eremenko I'm most interested in the regime where $L$ is small. I'd like to understand how the MFPT increases with $L$ in this regime. | |
| Dec 3, 2012 at 19:15 | comment | added | Alexandre Eremenko | Could you explain what "scale with L" means exactly? Do you want an asymptotic when $L\to\infty$? | |
| Dec 3, 2012 at 12:56 | comment | added | FloatingForest | @Squark, thanks, it makes sense to me that that's true if $L$ is finite. | |
| Dec 3, 2012 at 12:29 | comment | added | Vanessa | You probably know this but just in case: for $d < 3$, $v_b$ = 1 for any $b$ | |
| Dec 3, 2012 at 12:18 | history | edited | FloatingForest | CC BY-SA 3.0 |
Shortened the title
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| Dec 3, 2012 at 11:59 | history | asked | FloatingForest | CC BY-SA 3.0 |