Eigenvalue statistics of distorted random matrices
- 30 July 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (5) , 529-532
- https://doi.org/10.1103/physrevlett.65.529
Abstract
A numerical study of a set of random matrices which interpolate Poisson and Gaussian orthogonal ensembles is reported. The result indicates that the transition from Poisson to Wigner distributions for the nearest-level spacing does not depend on the details of the random-matrix parametrization and is essentially governed by a single parameter. Brody’s one-parameter interpolation formula is found to describe the transition rather well.Keywords
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