On normalizations of Thurston measure on the space of measured laminations
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Publication:2329349
DOI10.1016/j.topol.2019.106878zbMath1432.32013arXiv1902.04533OpenAlexW2972734100MaRDI QIDQ2329349
Vanya Telpukhovskiy, Leonid Monin
Publication date: 17 October 2019
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.04533
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
Related Items (10)
Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Distribution in the unit tangent bundle of the geodesics of given type ⋮ Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes ⋮ Topological recursion for Masur–Veech volumes ⋮ Counting curves on orbifolds ⋮ Geodesic currents and counting problems ⋮ Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics ⋮ Genericity of pseudo-Anosov mapping classes, when seen as mapping classes ⋮ Ergodic invariant measures on the space of geodesic currents
Cites Work
- Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves
- The Weil-Petersson and Thurston symplectic forms
- Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics
- Growth of the number of simple closed geodesics on hyperbolic surfaces
- Ergodic Theory of the Earthquake Flow
- Ergodic Actions of the Mapping Class Group
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