A comparison between Avila-Gouëzel-Yoccoz norm and Teichmüller norm

DOI10.1016/j.topol.2024.108839arXiv2208.03927OpenAlexW4391256197MaRDI QIDQ6192976

WeiXu Su, Shenxing Zhang

Publication date: 12 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03927

zbMATH Keywords

quadratic differentialsTeichmüller normAvila-Gouëzel-Yoccoz norm

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Cites Work

• Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
• Teichmüller geometry of moduli space. I: Distance minimizing rays and the Deligne-Mumford compactification
• Exponential mixing for the Teichmüller flow
• Hausdorff dimension of sets of nonergodic measured foliations
• On the density of Strebel differentials
• Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed singu\-larities
• Hodge and Teichmüller

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