Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations

Details Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations

2007-05-17

arxiv.org/abs/0705.2512v1

Physics

Mathematical Physics

Scientific paper

It is shown that Schroedinger 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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