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Scaling in the eigenvalue fluctuations of correlation matrices

Scaling in the eigenvalue fluctuations of correlation matrices

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 understand the information contained in typically large data sets. In the past two decades, random-matrix-theory-based tools such as the nearest-neighbor eigenvalue spacing and eigenvector …