Random length-spectrum rigidity for free groups
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Publication:5390206
DOI10.1090/S0002-9939-2011-11030-XzbMath1268.20043arXiv1001.1729OpenAlexW1965550608MaRDI QIDQ5390206
Publication date: 27 April 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.1729
free groupssimple random walksouter spacespectrally rigid subsetstranslation length functionsfree baseslength spectrum rigidity
Sums of independent random variables; random walks (60G50) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)
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Cites Work
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- Spectral rigidity of automorphic orbits in free groups.
- Length spectra and degeneration of flat metrics
- Twisting out fully irreducible automorphisms.
- Domains of proper discontinuity on the boundary of outer space.
- The subadditive ergodic theorem and generic stretching factors for free group automorphisms.
- Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
- Rigidity for surfaces of non-positive curvature
- Geometric intersection number and analogues of the curve complex for free groups.
- A hyperbolic \(\text{Out}(F_n)\)-complex.
- Moduli of graphs and automorphisms of free groups
- The Gromov topology on \({\mathbb{R}}\)-trees
- The marked length-spectrum of a surface of nonpositive curvature
- Cocycles, symplectic structures and intersection
- Laminations, trees, and irreducible automorphisms of free groups
- On the rigidity of discrete isometry groups of negatively curved spaces
- The topology at infinity of \(\text{Out} (F_n)\)
- Length functions and outer space
- Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
- Conjugacy and rigidity for nonpositively curved manifolds of higher rank
- Intersection form, laminations and currents on free groups.
- Lines of minima in outer space
- The Patterson-Sullivan embedding and minimal volume entropy for outer space.
- THE FREQUENCY SPACE OF A FREE GROUP
- ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics
- Geodesic currents and length compactness for automorphisms of free groups
- The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility
- Clusters, Currents, and Whitehead's Algorithm