Timeline for The distribution of eigenvalues of linear combinations of random unitary matrices
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 9, 2021 at 14:03 | comment | added | Joseph Van Name | The circular law where $r$ is much smaller than $n$ and $U_{1},\dots,U_{r}$ are permutation matrices is very similar to the case when the matrices are sparse which has been covered in this paper. www-personal.umich.edu/~rudelson/papers/circ_sparse.pdf | |
| Aug 9, 2021 at 4:36 | comment | added | Joseph Van Name | The circular law also applies to spectral radius. arxiv.org/pdf/1907.13631.pdf | |
| Aug 9, 2021 at 2:55 | comment | added | Joseph Van Name | en.wikipedia.org/wiki/Circular_law | |
| Aug 8, 2021 at 23:49 | comment | added | Michael Engelhardt | Your description implies that $n$ is typically large. For $n\rightarrow \infty $, much is known about the eigenvalue distributions of sums of random matrices in the context of free random variables, cf. bookstore.ams.org/crmm-1 | |
| Aug 8, 2021 at 22:37 | comment | added | Joseph Van Name | I am currently not very familiar with random matrices. | |
| Aug 8, 2021 at 22:36 | history | asked | Joseph Van Name | CC BY-SA 4.0 |