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http://acervodigital.unesp.br/handle/11449/7123- Title:
- Sparse one-dimensional discrete Dirac operators II: Spectral properties
- Universidade Federal de São Carlos (UFSCar)
- Universidade Estadual Paulista (UNESP)
- 0022-2488
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Pró-Reitoria de Pesquisa da UNESP (PROPe UNESP)
- Fundação para o Desenvolvimento da UNESP (FUNDUNESP)
- FAPESP: 10/10236-3
- 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 Schrodinger operators, we determine the Hausdorff dimension of its spectral measure and identify a sharp spectral transition from point to singular continuous. (C) 2011 American Institute of Physics. [doi:10.1063/1.3600536]
- 1-Jul-2011
- Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 52, n. 7, p. 21, 2011.
- 21
- American Institute of Physics (AIP)
- http://dx.doi.org/10.1063/1.3600536
- http://hdl.handle.net/11449/7123
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/7123
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