52 citations · 517 across the 35 of their papers we have counts for
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Spectral statistics of interpolating random circulant matrix and its applications to random circulant graphs
Sunidhi Sen, Himanshu Shekhar, Santosh Kumar
We consider a versatile matrix model of the form , where and are real random circulant matrices with independent but, in general, nonidentica…
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…
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…
Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
Ayana Sarkar, Manuja Kothiyal, Santosh Kumar
The ratio of two consecutive level spacings has emerged as a very useful metric in investigating universal features exhibited by complex spectra. It does not require the knowledge…
Recursion scheme for the largest -Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport
Peter J. Forrester, Santosh Kumar
The largest eigenvalue distribution of the Wishart-Laguerre ensemble, indexed by Dyson parameter and Laguerre parameter , is fundamental in multivariate statistics and finds…