Timeline for Hyperbolic space embeds into Wasserstein space
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2022 at 7:39 | vote | accept | Carlos_Petterson | ||
| Apr 8, 2022 at 18:08 | comment | added | Anton Petrunin | @Carlos_Petterson, I guess it is about (3+1)-point comparison --- check our book arxiv.org/abs/1903.08539 | |
| Apr 8, 2022 at 17:33 | comment | added | Carlos_Petterson | May I ask you to add the details for this, I'm really not an expert in this type of argument :/ | |
| Apr 3, 2022 at 16:55 | comment | added | Anton Petrunin | By the way, if you apply (n+1)-point comparison you could get that distortion should be at least $\sqrt2-\varepsilon$ for large $R$. Most likely the bound should approach infinity, but I do not see an argument to prove it. | |
| Apr 3, 2022 at 16:48 | comment | added | Anton Petrunin | Just apply the (3+1)-point comparison, you will get that for any $\varepsilon>0$ and all sufficiently large $R$ the map cannot be $[\sqrt3,2-\varepsilon]$-bilipschitz. | |
| Apr 2, 2022 at 15:40 | history | answered | Anton Petrunin | CC BY-SA 4.0 |