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most citedQuantitative weak mixing for interval exchange transformations

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math.DS2023

Nondegeneracy of the spectrum of the twisted cocycle for interval exchange transformations

Hesam Rajabzadeh, Pedram Safaee

We prove the positivity of the top Lyapunov exponent of the twisted (spectral) cocycle, associated with IETs, with respect to a family of natural invariant measures. The proof reli…