Timeline for On necessity of Feller property
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 24, 2017 at 15:50 | vote | accept | sharpe | ||
| Jul 24, 2017 at 15:50 | vote | accept | sharpe | ||
| Jul 24, 2017 at 15:50 | |||||
| Jul 24, 2017 at 13:32 | vote | accept | sharpe | ||
| Jul 24, 2017 at 15:50 | |||||
| Jul 24, 2017 at 13:17 | comment | added | Henry.L | Yes I missed sth and corrected it now. | |
| Jul 23, 2017 at 14:56 | comment | added | John Dawkins | (2) is not in the definition of Hunt process (a strong Markov process with right-continuous and quasi-left-continuous sample paths). On the other hand, (2) is a necessary consequence for the semigroup of a Hunt process. | |
| Jul 23, 2017 at 0:45 | comment | added | Henry.L | Are you saying that (2) is not necessary in definition of Hunt process...but it is a consequence of Hunt process? I am confused since in that case why the paper needs (2) in def? | |
| Jul 22, 2017 at 15:30 | comment | added | John Dawkins | Yes: If $f\in C_\infty(E)$ then $t\mapsto f(X_t(\omega))$ is bounded and continuous for each $\omega$, with limit $f(X_0(\omega))$ as $t\downarrow 0$. Property (2) follows by dominated convergence, as you noted. | |
| Jul 22, 2017 at 15:08 | history | answered | John Dawkins | CC BY-SA 3.0 |