Continuous spectrum for a class of smooth mixing Schr\"odinger operators
classification
🧮 math.DS
math-phmath.MPmath.SP
keywords
continuousmixingodingeroperatorsschrsmoothspectrumsystem
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We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schr\"odinger operators on the line defined with a potential generated by this system and a H\"older sampling function, have almost surely a continuous spectrum.
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