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math.DS2025
Exponential mixing of the Teichmüller flow on affine invariant manifolds
Ursula Hamenstädt
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 expo…
math.DS2011
Symbolic dynamics for the Teichmueller flow
Ursula Hamenstädt
Let Q be a component of a stratum of abelian or quadratic differentials on an oriented surface of genus with punctures and . We construct a subshi…
math.DS2009
Dynamical properties of the Weil-Petersson metric
Ursula Hamenstadt
Let S be a non-exceptional oriented surface of finite type. We discuss the action of subgroups of the mapping class group of S on the CAT(0)-boundary of the completion of Teichmuel…