Timeline for Free probability: A unitary group heuristic for the relationship between additive free convolution and free compression
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 17, 2023 at 11:40 | history | bounty ended | Samuel Johnston | ||
| Sep 14, 2023 at 12:26 | comment | added | Samuel Johnston | Thanks for the response - this is exactly the heuristic I was looking for! | |
| Sep 11, 2023 at 17:57 | vote | accept | Samuel Johnston | ||
| Sep 11, 2023 at 16:18 | comment | added | Terry Tao | And I believe there actually is some free probability result that any fixed square matrix with free unitary entries is itself unitary after renormalization (this is basically the moment calculation you allude to). I don't have a reference for this handy though. | |
| Sep 11, 2023 at 16:07 | comment | added | Terry Tao | The heuristic that the entries of a random unitary (or orthogonal) matrix behave like iid gaussians is quite a good one; see e.g., arxiv.org/abs/math/0601457 | |
| Sep 11, 2023 at 15:56 | history | answered | Will Sawin | CC BY-SA 4.0 |