52 citations · 517 across the 35 of their papers we have counts for
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Differential recurrences for the distribution of the trace of the -Jacobi ensemble
Peter J. Forrester, Santosh Kumar
Examples of the -Jacobi ensemble specify the joint distribution of the transmission eigenvalues in scattering problems. In this context, there has been interest in the distribut…
Spectral statistics for the difference of two Wishart matrices
Santosh Kumar, S. Sai Charan
In this work, we consider the weighted difference of two independent complex Wishart matrices and derive the joint probability density function of the corresponding eigenvalues in…
Wishart and random density matrices: Analytical results for the mean-square Hilbert-Schmidt distance
Santosh Kumar
Hilbert-Schmidt distance is one of the prominent distance measures in quantum information theory which finds applications in diverse problems, such as construction of entanglement…
Computable structural formulas for the distribution of the -Jacobi edge eigenvalues
Peter J. Forrester, Santosh Kumar
The Jacobi ensemble is one of the classical ensembles of random matrix theory. Prominent in applications are properties of the eigenvalues at the spectrum edge, specifically the di…