会议论文详细信息
ELC International Meeting on Inference, Computation, and Spin Glasses | |
Free products of large random matrices _ a short review of recent developments | |
Burda, Zdzislaw^1 | |
Marian Smoluchowski Institute of Physics, Mark Kac Center for Complex Systems Research, Jagiellonian University, Reymonta 4, PL30-059 Cracow, Poland^1 | |
关键词: Eigenvalue densities; Eigenvalue distributions; Gaussians; Hermitians; Large random matrices; Non-Hermitian matrix; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/473/1/012002/pdf DOI : 10.1088/1742-6596/473/1/012002 |
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来源: IOP | |
【 摘 要 】
We review methods to calculate eigenvalue distributions of products of large random matrices. We discuss a generalization of the law of free multiplication to non-Hermitian matrices and give a couple of examples illustrating how to use these methods in practice. In particular we calculate eigenvalue densities of products of Gaussian Hermitian and non-Hermitian matrices including combinations of GUE and Ginibre matrices.
【 预 览 】
Files | Size | Format | View |
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Free products of large random matrices _ a short review of recent developments | 876KB | download |