Adhikari, Kartick ; Bose, Arup (2020) Limiting spectral distribution of the product of truncated Haar unitary matrices Random Matrices: Theory and Applications, 09 (02). p. 2050002. ISSN 2010-3263
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Official URL: http://doi.org/10.1142/S2010326320500021
Related URL: http://dx.doi.org/10.1142/S2010326320500021
Abstract
Let A(i)n , 1≤i≤k , be k probabilistically independent matrices of order ni×ni+1 (with n1=nk+1 ) which are the left-uppermost blocks of n×n Haar unitary matrices. Suppose that nni→αi as n→∞ , with 1<αi<∞ . Using free probability and Brown measure techniques, we find the limiting spectral distribution of A(1)n⋯A(k)n .
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| ID Code: | 135032 |
| Deposited On: | 18 Jan 2023 07:34 |
| Last Modified: | 20 Jan 2023 07:44 |
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