52 citations · 517 across the 35 of their papers we have counts for
Showing 2015 · math-phShow all
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math-ph2015★ 6 cited
Gap probabilities and densities of extreme eigenvalues of random matrices: Exact results
Santosh Kumar
We derive exact results for gap probabilities, as well as densities of extreme eigenvalues for six complex random matrix ensembles of fundamental importance. These are Gauss-Wigner…
math-ph2015★ 25 cited
Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for product of two Gaussian matrices
Santosh Kumar
We provide a proof to a recent conjecture by Forrester [2014 J. Phys. A: Math. Theor. 47, 065202] regarding the algebraic and arithmetic structure of Meijer G-functions which appea…
math-ph2015★ 19 cited
Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure
Santosh Kumar
We consider four nontrivial ensembles involving Gaussian Wigner and Wishart matrices. These are relevant to problems ranging from multiantenna communication to random supergravity.…