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arXiv · 2508.14867

Exponential mixing of the Teichm\"uller flow on affine invariant manifolds

Ursula Hamenstädt
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Abstract

Let S be a non-exceptional oriented surface of finite type. We give a new proof based on symbolic coding of the following result of Avila and Gouezel. The Teichmueller flow is exponentially mixing with respect to any ergodic SL(2,R)-invariant Borel probability measure.

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Ursula Hamenstädt. 2025-08-20. Exponential mixing of the Teichm\"uller flow on affine invariant manifolds. https://arxiv.org/abs/2508.14867

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