Teichmüller dynamics and unique ergodicity via currents and Hodge theory

DOI10.1515/crelle-2019-0037zbMath1453.37043OpenAlexW2995004967MaRDI QIDQ2209456

Curtis T. McMullen

Publication date: 2 November 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2019-0037

zbMATH Keywords

unique ergodicityTeichmüller geodesicsperiodic foliations

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items

Billiards and Teichmüller curves ⋮ Billiards, heights, and the arithmetic of non-arithmetic groups ⋮ Algebraic intersection for translation surfaces in a family of Teichmüller disks ⋮ Pluripotential theory on Teichmüller space. II: Poisson integral formula ⋮ The second variation of the Hodge norm and higher Prym representations ⋮ Modular symbols for Teichmüller curves

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