Statistical hyperbolicity in Teichmüller space

DOI10.1007/s00039-014-0265-8zbMath1302.30055arXiv1108.5416OpenAlexW2132156817WikidataQ56873225 ScholiaQ56873225MaRDI QIDQ2510439

Spencer Dowdall, Howard A. Masur, Moon Duchin

Publication date: 1 August 2014

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5416

zbMATH Keywords

Teichmüller spacenegative curvatureTeichmüller metricstatistical hyperbolicityproduct regionstatistical properties of geodesics

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (13)

Estimates of the Bergman kernel on Teichmüller space ⋮ Discretely shrinking targets in moduli space ⋮ Central limit theorems for mapping class groups and \(\operatorname{Out}(F_N)\) ⋮ Counting conjugacy classes in groups with contracting elements ⋮ Random walks on mapping class groups ⋮ Statistical hyperbolicity in groups. ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Word length statistics for Teichmüller geodesics and singularity of harmonic measure ⋮ Height, graded relative hyperbolicity and quasiconvexity ⋮ Tracking rates of random walks ⋮ The stratum of random mapping classes ⋮ Generic free subgroups and statistical hyperbolicity ⋮ Holomorphic quadratic differentials in Teichmüller theory

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