Ergodicity of skew products over linearly recurrent IETs
classification
🧮 math.DS
keywords
linearlyrecurrentskewalmostcharacteristiccombinationdefinedergodic
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We prove that the skew product over a linearly recurrent interval exchange transformation defined by almost any real-valued, mean-zero linear combination of characteristic functions of intervals is ergodic with respect to Lebesgue measure.
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