$\R$ -trees and laminations for free groups III: Currents and dual $\R$ -tree metrics

preprint2007arXivOpen access

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 situation is more complicated than in the surface case of real tree dual to a measured geodesic lamination.

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$\R$ -trees and laminations for free groups III: Currents and dual $\R$ -tree metrics

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R\RR-trees and laminations for free groups III: Currents and dual R\RR-tree metrics

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$\R$ -trees and laminations for free groups III: Currents and dual $\R$ -tree metrics