Ergodic currents dual to a real tree
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Publication:2805056
DOI10.1017/etds.2014.78zbMath1362.37085arXiv1302.3766OpenAlexW3099329611MaRDI QIDQ2805056
Thierry Coulbois, Arnaud Hilion
Publication date: 9 May 2016
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.3766
Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25) Groups acting on trees (20E08)
Related Items
Graph towers, laminations and their invariant measures, An integral weight realization theorem for subset currents on free groups, The Poisson boundary of \(\mathrm{Out}(F_N)\)
Cites Work
- Independent generators for one-dimensional systems of isometries
- Geometric intersection number and analogues of the curve complex for free groups.
- Deux remarques sur la géométrie symplectique de l'espace des feuilletages mesurés sur une surface
- Moduli of graphs and automorphisms of free groups
- The geometry of Teichmüller space via geodesic currents
- Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
- Interval exchange transformations and measured foliations
- A 'minimal', non-uniquely ergodic interval exchange transformation
- Non-ergodic interval exchange transformations
- Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
- Stable actions of groups on real trees
- Rips induction: index of the dual lamination of an \(\mathbb R\)-tree.
- Intersection form, laminations and currents on free groups.
- Actions of finitely generated groups on \(\mathbb{R}\)-trees.
- Dynamics of Out(Fn) on the boundary of outer space
- ℝ-trees, dual laminations and compact systems of partial isometries
- THE FREQUENCY SPACE OF A FREE GROUP
- Automorphisms of free groups have asymptotically periodic dynamics
- ℝ-trees and laminations for free groups I: algebraic laminations
- ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree
- ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics
- Treelike structures arising from continua and convergence groups
- IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
- The rank of actions on ${R}$-trees
- Interval translation mappings
- The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility
- Combinatorics on Bratteli diagrams and dynamical systems