Timeline for Is there a noncommutative Gaussian?
Current License: CC BY-SA 4.0
11 events
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| May 10, 2022 at 21:20 | history | edited | LSpice | CC BY-SA 4.0 |
Titles of references, while this is on the front page
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| Feb 25, 2022 at 3:07 | comment | added | Terry Tao | Fair point. I have narrowed the claim about entropy to the classical and free cases. | |
| Feb 25, 2022 at 3:06 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Feb 25, 2022 at 0:07 | comment | added | Octavio Arizmendi | Is there really a notion of monotone entropy? To the best of my knowledge this is not defined anywhere. | |
| Nov 28, 2021 at 19:19 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Nov 28, 2021 at 19:13 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Nov 28, 2021 at 19:08 | comment | added | Terry Tao | @WillSawin In noncommutative settings the $2k^{th}$ moment of a sum of $2k$ independent mean zero variables (for any of the non-commutative notions of independence) contains only exponentially many non-trivial terms, as opposed to factorially many in the classical case. (compare for instance the number of non-crossing perfect matchings in $\{1,\dots,2k\}$ against the number of unrestricted perfect matchings). This already largely explains the boundedness phenomenon. | |
| Nov 28, 2021 at 19:04 | history | edited | Terry Tao | CC BY-SA 4.0 |
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| Nov 28, 2021 at 11:21 | vote | accept | Pulcinella | ||
| Nov 27, 2021 at 17:17 | comment | added | Will Sawin | It's interesting that they're all bounded (although I guess that the Gaussian is, for most practical purposes, bounded.) | |
| Nov 27, 2021 at 16:45 | history | answered | Terry Tao | CC BY-SA 4.0 |