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Pré-Publication, Document De Travail Année : 2015

North-South dynamics of hyperbolic free group automorphisms on the space of currents

Résumé

Let $\varphi$ be a hyperbolic outer automorphism of a non-abelian free group $F_N$ such that $\varphi$ and $\varphi^{-1}$ admit absolute train track representatives. We prove that $\varphi$ acts on the space of projectivized geodesic currents on $F_N$ with generalized uniform North-South dynamics.

Dates et versions

hal-01318933 , version 1 (20-05-2016)

Identifiants

Citer

Martin Lustig, Caglar Uyanik. North-South dynamics of hyperbolic free group automorphisms on the space of currents. 2015. ⟨hal-01318933⟩
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