Geodesic currents and counting problems
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Publication:1999362
DOI10.1007/s00039-019-00502-7zbMath1420.30012arXiv1709.06834OpenAlexW2962788967WikidataQ127781574 ScholiaQ127781574MaRDI QIDQ1999362
Publication date: 26 June 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06834
Related Items (12)
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 ⋮ Experimental Statistics for Mirzakhani’s Theorem ⋮ Effective mapping class group dynamics. I: Counting lattice points in Teichmüller space ⋮ Valuations on the character variety: Newton polytopes and residual Poisson bracket ⋮ Counting curves on orbifolds ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics ⋮ Length Functions on Currents and Applications to Dynamics and Counting ⋮ Ergodic invariant measures on the space of geodesic currents ⋮ From curves to currents
Cites Work
- Counting curves in hyperbolic surfaces
- Lattice point asymptotics and volume growth on Teichmüller space
- Invariant Radon measures on measured lamination space
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- On Thurston's boundary of Teichmüller space and the extension of earthquakes
- The Weil-Petersson and Thurston symplectic forms
- Counting curves, and the stable length of currents
- On normalizations of Thurston measure on the space of measured laminations
- Hyperbolic Structures on Surfaces and Geodesic Currents
- Ergodic Theory of the Space of Measured Laminations
- Ergodic Actions of the Mapping Class Group
- Combinatorics of Train Tracks. (AM-125)
- The Weil-Petersson Symplectic Structure at Thurston's Boundary
- Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes
- Shearing coordinates and convexity of length functions on Teichmüller space
- Counting curves on orbifolds
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