52 citations · 517 across the 35 of their papers we have counts for
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math-ph2019★ 24 cited
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…
math-ph2019★ 23 cited
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…
math-ph2019★ 25 cited
Bures-Hall Ensemble: Spectral Densities and Average Entropies
Ayana Sarkar, Santosh Kumar
We consider an ensemble of random density matrices distributed according to the Bures measure. The corresponding joint probability density of eigenvalues is described by the fixed…