Weak mixing for interval exchange transformations and translation flows
classification
🧮 math.DS
keywords
mixingexchangeintervaltranslationtypicalweaklyconcludeeither
read the original abstract
We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus $g \geq 2$ (with prescribed singularity types) is weakly mixing.
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