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Article Dans Une Revue Illinois Journal of Mathematics Année : 2007

Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees

Résumé

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 structure of the R-tree (the so-called observers' topology). On the contrary the metric is not determined by the lamination, and an R-tree may be equipped with different metrics which have the same observers' topology.
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Dates et versions

hal-00153347 , version 1 (09-06-2007)

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Thierry Coulbois, Arnaud Hilion, Martin Lustig. Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees. Illinois Journal of Mathematics, 2007, 51 (3), pp.897-911. ⟨hal-00153347⟩
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