Cantor Singular Continuous Spectrum for Operators along Interval Exchange Transformations
نویسندگان
چکیده
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.
منابع مشابه
Almost Periodic Schrödinger Operators along Interval Exchange Transformations
It is shown that Schrödinger operators, with potentials along the shift embedding of irreducible interval exchange transformations in a dense set, have pure singular continuous spectrum for Lebesgue almost all points of the interval. Such potentials are natural generalizations of the Sturmian case.
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تاریخ انتشار 2006