Cantor singular continuous spectrum for operators along interval exchange transformations

Cobo, M.; Gutierrez, C.; de Oliveira, C.

doi:10.1090/S0002-9939-07-09074-0

Cantor singular continuous spectrum for operators along interval exchange transformations
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by M. Cobo, C. Gutierrez and C. R. de Oliveira PDF

Proc. Amer. Math. Soc. 136 (2008), 923-930 Request permission

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.

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