| 1/falpha noise in the fluctuations of the spectra of tridiagonal random matrices from the beta-Hermite ensemble. | |
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MedLine Citation:
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PMID: 17995039 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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The 1/falpha noise displayed by the fluctuation of the n th unfolded eigenvalue, where n plays the role of a discrete time, was recently characterized for the classical Gaussian ensembles of NxN random matrices. It is investigated here for the beta-Hermite ensemble by wavelet analysis of Monte Carlo simulated series both as a function of beta and of N. When beta decreases from 1 to 0, for a given and large enough N, the evolution from a 1/f noise at beta=1 Gaussian orthogonal ensemble (GOE) to a 1/f2 noise at beta=0 Gaussian diagonal ensemble (GDE) is heterogeneous with a approximately 1/f2 noise at the finest scales and an approximately 1/f noise at the coarsest ones. |
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Authors:
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C Male; G Le Caër; R Delannay |
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Publication Detail:
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Type: Journal Article Date: 2007-10-10 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 76 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2007 Oct |
Date Detail:
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Created Date: 2007-11-12 Completed Date: 2008-01-03 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 042101 Citation Subset: - |
Affiliation:
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Groupe Matiére Condensée et Matériaux, CNRS UMR 6626, Université de Rennes-I, Campus de Beaulieu, Bâtiment 11A, Avenue du Général Leclerc, F-35042 Rennes Cedex, France. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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