ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics

DOI10.1112/JLMS/JDN054zbMath1200.20018arXiv0706.0677OpenAlexW3100786143MaRDI QIDQ3543779

Martin Lustig, Thierry Coulbois, Arnaud Hilion

Publication date: 4 December 2008

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

Full work available at URL: https://arxiv.org/abs/0706.0677

zbMATH Keywords

outer automorphism groupscurrentsreal treesouter spacealgebraic laminationsactions of free groups by isometriessymbolic laminations

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Free nonabelian groups (20E05) Symbolic dynamics (37B10) Groups acting on trees (20E08)

Related Items (17)

RELATIVE TWISTING IN OUTER SPACE ⋮ Poisson boundary of groups acting on \(\mathbb R\)-trees. ⋮ Subset currents on free groups. ⋮ Connectivity of the Gromov boundary of the free factor complex ⋮ Lines of minima in outer space ⋮ Random length-spectrum rigidity for free groups ⋮ PING-PONG AND OUTER SPACE ⋮ Intersection form, laminations and currents on free groups. ⋮ Domains of proper discontinuity on the boundary of outer space. ⋮ Hyperbolic extensions of free groups from atoroidal ping-pong ⋮ Algebraic laminations for free products and arational trees ⋮ Ergodic currents dual to a real tree ⋮ North–South dynamics of hyperbolic free group automorphisms on the space of currents ⋮ Geometric intersection number and analogues of the curve complex for free groups. ⋮ Stabilizers of ℝ-trees with free isometric actions of F_N ⋮ Dynamics of hyperbolic iwips ⋮ Indecomposable \(F_N\)-trees and minimal laminations.

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