Timeline for Is the Boltzmann entropy lower semi-continuous in the weak topology induced by $C_b (\mathbb R^d)$?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 2, 2023 at 19:29 | answer | added | Iosif Pinelis | timeline score: 2 | |
| Nov 2, 2023 at 17:08 | vote | accept | Akira | ||
| Nov 2, 2023 at 16:56 | comment | added | Iosif Pinelis | @Akira : Of course, you can send me an email. On the other hand, see the new version of the answer. | |
| Nov 2, 2023 at 16:55 | comment | added | Iosif Pinelis | @plm : The definition of convergence here is as common in probability. It does define a topology over the set of probability measures. | |
| Nov 2, 2023 at 14:50 | comment | added | plm | What do you call "weak topology" here ? $H$ is a function on ac square-integrable pdf but you take a topology generated on $\mathbb R^d$ and not on $P=P^2_{ac}(\mathbb R^d)$ so i don't see what your question means. Do you mean the topology induced on $P$ by the "integration" linear functionals associated to bounded continuous functions ? | |
| Nov 2, 2023 at 14:33 | comment | added | Akira | @IosifPinelis I have seen you deleted your answer. I have a modified version of Boltzmann entropy. I think that your proof works for this modified version. If you don't mind, I will send you an email for that proof... | |
| Nov 2, 2023 at 14:09 | comment | added | Iosif Pinelis | According to MathOverflow guidelines, there should be only one question in one post. | |
| Nov 2, 2023 at 14:08 | answer | added | Iosif Pinelis | timeline score: 3 | |
| Nov 2, 2023 at 12:32 | history | asked | Akira | CC BY-SA 4.0 |