Universal sum and product rules for random matrices


Rogers, T., 2010. Universal sum and product rules for random matrices. Journal of Mathematical Physics, 51 (9), 093304.

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The spectral density of random matrices is studied through a quaternionic generalisation of the Green's function, which precisely describes the mean spectral density of a given matrix under a particular type of random perturbation. Exact and universal expressions are found in the high-dimension limit for the quaternionic Green's functions of random matrices with independent entries when summed or multiplied with deterministic matrices. From these, the limiting spectral density can be accurately predicted.


Item Type Articles
CreatorsRogers, T.
Related URLs
URLURL Type Full-text
DepartmentsFaculty of Science > Mathematical Sciences
Research Centres
Centre for Mathematical Biology
ID Code32175


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