Almost every translation flow in every genus has Hölder-regular spectral measures for Lipschitz test functions, proved via a vector Erdős-Kahane argument in the symbolic framework.
Weak mixing for interval exchange transformations and translation flows
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H\"older regularity for the spectrum of translation flows
Almost every translation flow in every genus has Hölder-regular spectral measures for Lipschitz test functions, proved via a vector Erdős-Kahane argument in the symbolic framework.