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Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series

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Plerou, Vasiliki, Gopikrishnan, Parameswaran, Rosenow, Bernd, Nunes Amaral, Luís A., Stanley, H. Eugene·1999·Physical Review Letters

Abstract

We use methods of random matrix theory to analyze the cross-correlation matrix $\mathbf{C}$ of stock price changes of the largest 1000 U.S. companies for the 2-year period 1994--1995. We find that the statistics of most of the eigenvalues in the spectrum of $\mathbf{C}$ agree with the predictions of random matrix theory, but there are deviations for a few of the largest eigenvalues. We find that $\mathbf{C}$ has the universal properties of the Gaussian orthogonal ensemble of random matrices. Furthermore, we analyze the eigenvectors of $\mathbf{C}$ through their inverse participation ratio and find eigenvectors with large ratios at both edges of the eigenvalue spectrum---a situation reminiscent of localization theory results.

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Metadata

Authors
Plerou, V., Gopikrishnan, P., Rosenow, B., Nunes Amaral, L. A., & Stanley, H. E.
Venue
Physical Review Letters
Published
1999-08-16
Volume
83
Issue
7
Pages
1471-1474
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2135282243
Cited by
1,017
References
30
FWCI
72.35
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series. https://app.cochat.ai/papers/10.1103/physrevlett.83.1471
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Plerou, V., Gopikrishnan, P., Rosenow, B., Nunes Amaral, L. A., & Stanley, H. E. (1999). Universal and Nonuniversal Properties of Cross Correlations in Financial Time Series. Physical Review Letters. https://doi.org/10.1103/physrevlett.83.1471

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