Timeline for Determinant of a random row stochastic matrix
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2016 at 2:20 | vote | accept | Anthony Quas | ||
| Dec 2, 2016 at 2:20 | comment | added | Anthony Quas | Oh yes. I see that. | |
| Dec 2, 2016 at 1:52 | comment | added | Nick Cook | One obtains the uniform distribution on the simplex by taking $X_i$ to be iid exponential variables. | |
| Dec 2, 2016 at 1:00 | comment | added | Anthony Quas | Thanks Igor - It seems that that model is a bit different to the one I'm considering: they are taking rows formed by taking iid non-negative entries and then normalizing (so that the $i$th entry is $X_i/(X_1+\ldots+X_n)$), which seems to be somewhat different (even if the $X$'s are uniform) than uniformly sampling over the simplex (e.g. conditional on $X_1+\ldots+X_n=n-0.5$, all of the $X_i$'s are above 0.5). From the introduction to the paper, the spirit seems to be that small changes to the distribution make small changes to the spectrum so presumably this paper gives the right distribution. | |
| Dec 2, 2016 at 0:37 | history | answered | Igor Rivin | CC BY-SA 3.0 |