Geodesic currents and length compactness for automorphisms of free groups

DOI10.1090/S0002-9947-08-04420-6zbMath1166.20032arXivmath/0602555MaRDI QIDQ3600633

Stefano Francaviglia

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602555

zbMATH Keywords

automorphismsfree groupsgeodesic currents

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items

Subset currents on free groups., Spectral rigidity of automorphic orbits in free groups., The isometry group of outer space, Random length-spectrum rigidity for free groups, PING-PONG AND OUTER SPACE, Metric properties of outer space., Intersection form, laminations and currents on free groups., Domains of proper discontinuity on the boundary of outer space., Geometric intersection number and analogues of the curve complex for free groups., Stabilizers of ℝ-trees with free isometric actions of F_N , Displacements of automorphisms of free groups II: Connectivity of level sets and decision problems

Cites Work

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• The subadditive ergodic theorem and generic stretching factors for free group automorphisms.
• Automorphisms of free groups have finitely generated fixed point sets
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• On equivalent sets of elements in a free group
• THE FREQUENCY SPACE OF A FREE GROUP
• Clusters, Currents, and Whitehead's Algorithm