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VOLUME 45 (1987) | ISSUE 11 | PAGE 538
Fluctuations of the local state density in a one-dimensional conductor
The distribution, of the local state-density fluctuation in a one-dimensional conductor is evaluated. In the case of a finite system with an open boundary, the distribution has the shape of a logarithmically normal law. For an infinite or shorted sample the fluctuations are described by the inverse Gaussian distribution. The generalization of the results obtained here to the case of an insulator of arbitrary dimensionality is discussed.