Timeline for Computing Haar measure of matrices sampled from SO(n)
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Aug 21 at 6:06 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
comment prompted by https://math.stackexchange.com/questions/4960920/sampling-rotations-uniformly
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| Apr 7 at 10:51 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 118 characters in body
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| Apr 7 at 9:37 | comment | added | magnesium | How did you derive the formulae for the joint probability (and the example marginal probability)? | |
| Apr 7 at 7:08 | comment | added | Carlo Beenakker | @LSpice --- one way you might form an intuition goes like this: the eigenphases $\theta_m$ are confined to the interval $(0,\pi)$. They repel each other, so they want to spread out, and as they spread out they are pushed towards the "walls" at 0 and $\pi$. | |
| Apr 6 at 21:36 | comment | added | LSpice | Is there a conceptual exploration for the occurrences of these peaks? | |
| Apr 6 at 21:35 | history | edited | LSpice | CC BY-SA 4.0 |
SO$(n)$ -> $\operatorname{SO}(n)$
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| Apr 6 at 21:00 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
deleted 1 character in body
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| Apr 6 at 17:54 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 196 characters in body
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| Apr 6 at 12:51 | comment | added | Carlo Beenakker | It just means that the height of the peaks becomes smaller and smaller as n becomes larger and larger. | |
| Apr 6 at 11:11 | comment | added | magnesium | What does it mean to be uniform (for large n) but also have peaks at 0 and $\pm \pi$? Does it mean that for large n, it would be uniform over the interval $(0,\pi)$ with peaks just at the end points? | |
| Apr 6 at 10:57 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
edited body
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| Apr 6 at 10:44 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |