58 citations · 113 across the 7 of their papers we have counts for
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Scaling in the eigenvalue fluctuations of the empirical correlation matrices
Udaysinh T. Bhosale, S. Harshini Tekur, M. S. Santhanam
The spectra of empirical correlation matrices, constructed from multivariate data, are widely used in many areas of sciences, engineering and social sciences as a tool to understan…
Higher order spacing ratios in random matrix theory and complex quantum systems
S. Harshini Tekur, Udaysinh T. Bhosale, M. S. Santhanam
The distribution of the ratios of nearest neighbor level spacings has become a popular indicator of spectral fluctuations in complex quantum systems like interacting many-body loca…
Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
S. Harshini Tekur, Santosh Kumar, M. S. Santhanam
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra is modeled through appropriate en…