- 11-87 Silas L. Carvalho, C sar R. de Oliveira, Roberto A. Prado
- Sparse 1D discrete Dirac operators II: Spectral properties
(82K, Latex)
Jun 10, 11
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Abstract. We study spectral properties of some discrete Dirac operators
with nonzero potential only at some sparse and suitably randomly distributed
positions. As observed in the corresponding Schr\"o\-ding\-er operators, we
determine the
Hausdorff dimension of its spectral measure and identify a sharp spectral
transition from point to singular continuous.
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