Linear progress in the complex of curves
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Publication:3566703
DOI10.1090/S0002-9947-10-04903-2zbMath1232.37023arXiv0802.0467MaRDI QIDQ3566703
Publication date: 8 June 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.0467
Geometric group theory (20F65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
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Cites Work
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- Random walks on the mapping class group
- Heegaard splittings of Haken manifolds have bounded distance.
- The measure of the limit set of the handlebody group
- Abelian and solvable subgroups of the mapping class group
- On the dynamics of isometries
- Casson-Gordon's rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds
- Covers and the curve complex
- Superrigidity and mapping class groups
- Geometry of the complex of curves. II: Hierarchical structure
- Smoothability of the conformal boundary of a Lorentz surface implies `global smoothability'
- Geometry of the complex of curves. I: Hyperbolicity
- Extremal length estimates and product regions in Teichmüller space
- The Poisson boundary of the mapping class group
- A multiplicative ergodic theorem and nonpositively curved spaces
- Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
- Convolutions, means, and spectra
- Fall Sampler: Counting in Groups: Fine Asymptotic Geometry
- Full Banach Mean Values on Countable groups.
- Symmetric Random Walks on Groups
- The Large Sieve, Monodromy, and Zeta Functions of Algebraic Curves, 2: Independence of the Zeros
- A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
- Combinatorics of Train Tracks. (AM-125)
- Random Walks on Infinite Graphs and Groups
- Relatively hyperbolic groups
- The Poisson formula for groups with hyperbolic properties
- 3-manifolds as viewed from the curve complex