Timeline for Does quadratic asymptotic growth imply log-Sobolev inequality?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 7 at 20:14 | vote | accept | Student | ||
| Oct 7 at 8:43 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
few grammar edits
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| Oct 6 at 18:01 | answer | added | πr8 | timeline score: 2 | |
| Oct 6 at 9:28 | comment | added | Student | I am thinking of $f$ being an unbounded function which is Lipschitz and whose Hessian norm is bounded by a constant. What is the theorem known in this case? | |
| Oct 6 at 8:05 | comment | added | πr8 | Could you be a bit more precise about the smoothness which you have in mind? If f is bounded (or even just of sub-quadratic growth), then the answer is yes; if f has uniformly-bounded second derivatives, then the answer is often yes; if f is just C-infinity, then the answer need not be yes (see e.g. arxiv.org/abs/0810.5435). Happy to comment more as we narrow things down. | |
| S Oct 6 at 5:16 | history | suggested | J. W. Tanner | CC BY-SA 4.0 |
corrected spelling in title
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| Oct 6 at 2:15 | review | Suggested edits | |||
| S Oct 6 at 5:16 | |||||
| Oct 6 at 1:25 | comment | added | Mark Schultz-Wu | The case of $f$ convex appears to be the strong log-concavity of this survey, though (as detailed on page 6) many authors have called it many things. While you aren't as interested in that case, perhaps this will give you useful terms to search on anyway. | |
| Oct 6 at 0:49 | history | asked | Student | CC BY-SA 4.0 |