Timeline for Modulus of of continuity of a convolution operator with respect to Wasserstein metric
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 23, 2014 at 18:12 | comment | added | Tapio Rajala | I added a way to see the reverse inequality. I'll think about your followup question later when I have more time. | |
| Apr 23, 2014 at 18:09 | history | edited | Tapio Rajala | CC BY-SA 3.0 |
added 489 characters in body
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| Apr 23, 2014 at 17:32 | comment | added | passerby51 | Thanks. Regarding the simplest case, I can see that $W_2(f_G,f_{G'}) \le W_2(G,G')$ if $G$ and $G'$ are point masses, but I can't see the reverse inequality in general. It seems the diffused measures get closer in general. Regarding your example, thanks for the nice construction. What can be assumed to rule out this? It seems that assuming $G$ and $G'$ to have support in a compact set rules this out. | |
| Apr 9, 2014 at 7:56 | history | answered | Tapio Rajala | CC BY-SA 3.0 |