On partial transposes of unitarily invariant random matrices
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910458914537472 |
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| author | Mingo, James A. Popa, Mihai |
| author_facet | Mingo, James A. Popa, Mihai |
| contents | We compute the limit distribution of partial transposes (when both the number and the size of blocks tends to infinity) for a large class of ensembles of unitarily invariant random matrices. Furthermore, it is shown the asymptotic freeness relation between the ensembles of random matrices, their transposes and their left and right partial transposes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07430 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On partial transposes of unitarily invariant random matrices Mingo, James A. Popa, Mihai Probability Combinatorics 46L54, 15A52, 05A99 We compute the limit distribution of partial transposes (when both the number and the size of blocks tends to infinity) for a large class of ensembles of unitarily invariant random matrices. Furthermore, it is shown the asymptotic freeness relation between the ensembles of random matrices, their transposes and their left and right partial transposes. |
| title | On partial transposes of unitarily invariant random matrices |
| topic | Probability Combinatorics 46L54, 15A52, 05A99 |
| url | https://arxiv.org/abs/2304.07430 |