For almost all translation flows in every stratum of Abelian differentials, the paper proves power-law bounds on twisted ergodic integrals, Hölder regularity of spectral measures, and effective weak mixing.
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Twisted Translation Flows and Effective Weak Mixing
For almost all translation flows in every stratum of Abelian differentials, the paper proves power-law bounds on twisted ergodic integrals, Hölder regularity of spectral measures, and effective weak mixing.