Universality of rescaled curvature distributions

We applied a recently proposed rescaling of curvatures of eigenvalues of parameter-dependent random matrices to experimental data from acoustic systems and to a theoretical result. It is found that the data from four different experiments, ranging from isotropic plates to anisotropic three-dimension...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-03, Vol.71 (3 Pt 2B), p.037201-037201, Article 037201
Main Authors: Pato, M P, Schaadt, K, Tufaile, A P B, Ellegaard, C, Nogueira, T N, Sartorelli, J C
Format: Article
Language:English
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Summary:We applied a recently proposed rescaling of curvatures of eigenvalues of parameter-dependent random matrices to experimental data from acoustic systems and to a theoretical result. It is found that the data from four different experiments, ranging from isotropic plates to anisotropic three-dimensional objects, and the theoretical result always agree with the universal curvature distribution, if only the curvatures are rescaled such that the average of their absolute values is unity.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.71.037201