Ergodic theory and free actions of groups on \({\mathbb{R}}\)-trees

DOI10.1007/BF01394277zbMath0676.57001OpenAlexW1976478174MaRDI QIDQ1122829

John W. Morgan

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143638

zbMATH Keywords

amalgamated free productssurface groupscodimension-1 measured laminationsfirst ergodic theoremfree actions on \({\mathbb{R}}\)-trees

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Foliations in differential topology; geometric theory (57R30)

Related Items

Structure and rigidity in hyperbolic groups. I, R-Trees and Normalization of Pseudogroups, Limit groups for relatively hyperbolic groups. I: The basic tools., Diophantine geometry over groups. III: Rigid and solid solutions., Λ-trees and their applications, Groups acting freely on R-trees, The Nielsen-Thurston classification and automorphisms of a free group. I, Splittings of Surfaces, Actions of finitely generated groups on \(\mathbb{R}\)-trees., Geodesic laminations on compact surfaces and homeomorphisms of the Cantor set., Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings

Cites Work

• Unnamed Item
• Free actions of surface groups on \({\mathbb{R}}\)-trees
• Degenerations of hyperbolic structures. II: Measured laminations in 3- manifolds
• Degenerations of hyperbolic structures. III: Actions of 3-manifold groups on trees and Thurston's compactness theorem