The spectral laws of Hermitian block-matrices with large random blocks
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1. | Title | Title of document | The spectral laws of Hermitian block-matrices with large random blocks |
2. | Creator | Author's name, affiliation, country | Tamer F Oraby; University of Cincinnati |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Random matrices |
3. | Subject | Subject classification | 60F05 |
4. | Description | Abstract | We are going to study the limiting spectral measure of fixed dimensional Hermitian block-matrices with large dimensional Wigner blocks. We are going also to identify the limiting spectral measure when the Hermitian block-structure is Circulant. Using the limiting spectral measure of a Hermitian Circulant block-matrix we will show that the spectral measure of a Wigner matrix with k-weakly dependent entries need not to be the semicircle law in the limit. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2007-12-23 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1335 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v12-1335 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 12 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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