Timeline for Intuition for the Drift Term of the Laplace-Beltrami Operator
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 18, 2017 at 14:08 | vote | accept | user3658307 | ||
| Jul 4, 2017 at 12:45 | answer | added | Paul Bryan | timeline score: 3 | |
| Jul 4, 2017 at 0:06 | comment | added | user3658307 | @ThomasRichard Yes indeed, I agree with you; in fact, it is one of the things confusing me (how can it be a "real drift" if it always disappears locally in normal coordinates?) as mentioned in my original question on MSE. But, in fact, the quantity turns up in the original papers by Ito himself on this topic (pg. 2), as the "drift coefficient" (in modern terminology) of the SDE for Brownian motion. | |
| Jul 3, 2017 at 21:21 | answer | added | Carlo Beenakker | timeline score: 4 | |
| Jul 3, 2017 at 21:10 | comment | added | Thomas Richard | I am not sure this is what you are looking for but I don't see this $\mu^l$ as a drift term. The thing is that $\mu^l$ and $g^{ij}\partial_{ij}$ are not well defined (they depend on your particular coordinate system) while the laplace beltrami operator $g^{ij}\partial_{ij}+\mu^l\partial_l$ is a geometric object. | |
| Jul 3, 2017 at 19:50 | history | edited | user3658307 | CC BY-SA 3.0 |
fixed typo
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| Jul 3, 2017 at 18:49 | review | First posts | |||
| Jul 3, 2017 at 18:53 | |||||
| Jul 3, 2017 at 18:48 | history | asked | user3658307 | CC BY-SA 3.0 |