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Cantor singular continuous spectrum for operators along interval exchange transformations |
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| Authors: | M. Cobo C. Gutierrez C. R. de Oliveira |
| Affiliation: | Departamento de Matemática, UFES, Av. F. Ferrari 514, Vitória, ES, 19075-910 Brazil ; Departamento de Matemática, ICMC/USP, CxP 668, São Carlos, SP, 13560-970 Brazil ; Departamento de Matemática, UFSCar, São Carlos, SP, 13560-970 Brazil |
| Abstract: | It is shown that Schrödinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval. |
| Keywords: | Schr" odinger operator, interval exchange transformation, singular continuous spectrum, Cantor spectrum. |
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