Timeline for sequences of plane measures converging to a singular one: terminology, etc
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2012 at 13:05 | comment | added | Dima Pasechnik | What is known about the resulting distribution on the line $bc$ the resulting singular measure is supported on? We don't need this immediately, but might want (or need) to look into at some point --- unless this is known all along. | |
| Oct 5, 2012 at 6:29 | vote | accept | Dima Pasechnik | ||
| Oct 3, 2012 at 18:20 | comment | added | Dirk | Correct. BY the way: The former ones (uniform measures on "full" triangles) are absolutely continuous w.r.t. Lebesgue measure. Probably also Lebesgue's decomposition theorem (en.wikipedia.org/wiki/Lebesgue%27s_decomposition_theorem) could be helpful. | |
| Oct 3, 2012 at 17:08 | comment | added | Dima Pasechnik | we have a "toy" inverse moment problem for signed measures which are linear combinations of uniform measures supported on triangles, which have vertices in a given finite set $S$. It appears that we need to distinguish "proper" triangles from these that are actually line segments (i.e. 3 vertices are collinear). The latter are singular w.r.t. to the Lebesgue measure, right? | |
| Oct 3, 2012 at 13:19 | history | answered | Dirk | CC BY-SA 3.0 |