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-trees, dual laminations, and compact systems of partial isometries
Thierry Coulbois, Arnaud Hilion, Martin Lustig
Let $\FN$ be a free group of finite rank , and let be an -tree with a very small, minimal action of $\FN$ with dense orbits. For any basis $\CA$ of $\FN$ there ex…
Non-unique ergodicity, observers' topology and the dual algebraic lamination for -trees
Thierry Coulbois, Arnaud Hilion, Martin Lustig
We continue in this article the study of laminations dual to very small actions of a free group F on R-trees. We prove that this lamination determines completely the combinatorial…
-trees and laminations for free groups III: Currents and dual -tree metrics
Thierry Coulbois, Arnaud Hilion, Martin Lustig
This is the third of a series of three articles where we introduce laminations for the free-groups. We explore here the link between currents and laminations and prove that the sit…
-trees and laminations for free groups II: The dual lamination of an -tree
Thierry Coulbois, Arnaud Hilion, Martin Lustig
This is the second part of a series of three articles which introduce laminations for free groups (see math.GR/0609416 for the first part). Several definition of the dual laminatio…