Exponential mixing of the Teichmüller flow on affine invariant manifolds

2025/08/20 by Ursula Hamenstädt, Hamenstädt, Ursula
Mathematics · #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2508.14867

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.

Citations

• Periodic orbits in the thin part of strata
• Isolation, equidistribution, and orbit closures for the SL(2,R) action\n on Moduli space
• Invariant and stationary measures for the SL(2,R) action on Moduli space
• Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
• Connected components of the strata of the moduli spaces of quadratic differentials

Related

• Exponential mixing for the Teichmuller flow
• Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials
• Bernoulli measures for the Teichmueller flow
• Symbolic dynamics for the Teichmueller flow
• Exponential Mixing Via Additive Combinatorics