dorsal/arxiv
View SchemaStatistics of Atmospheric Correlations
| Authors | M. S. Santhanam, Prabir K. Patra |
|---|---|
| Categories | |
| ArXiv ID | physics/0105006 |
| URL | https://arxiv.org/abs/physics/0105006 |
| DOI | 10.1103/PhysRevE.64.016102 |
| Journal | Phys. Rev. E 64, 016102 (2001) |
Abstract
For a large class of quantum systems the statistical properties of their spectrum show remarkable agreement with random matrix predictions. Recent advances show that the scope of random matrix theory is much wider. In this work, we show that the random matrix approach can be beneficially applied to a completely different classical domain, namely, to the empirical correlation matrices obtained from the analysis of the basic atmospheric parameters that characterise the state of atmosphere. We show that the spectrum of atmospheric correlation matrices satisfy the random matrix prescription. In particular, the eigenmodes of the atmospheric empirical correlation matrices that have physical significance are marked by deviations from the eigenvector distribution.
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"abstract": "For a large class of quantum systems the statistical properties of their\nspectrum show remarkable agreement with random matrix predictions. Recent\nadvances show that the scope of random matrix theory is much wider. In this\nwork, we show that the random matrix approach can be beneficially applied to a\ncompletely different classical domain, namely, to the empirical correlation\nmatrices obtained from the analysis of the basic atmospheric parameters that\ncharacterise the state of atmosphere. We show that the spectrum of atmospheric\ncorrelation matrices satisfy the random matrix prescription. In particular, the\neigenmodes of the atmospheric empirical correlation matrices that have physical\nsignificance are marked by deviations from the eigenvector distribution.",
"arxiv_id": "physics/0105006",
"authors": [
"M. S. Santhanam",
"Prabir K. Patra"
],
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"physics.data-an",
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"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.64.016102",
"journal_ref": "Phys. Rev. E 64, 016102 (2001)",
"title": "Statistics of Atmospheric Correlations",
"url": "https://arxiv.org/abs/physics/0105006"
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