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arXiv · 1509.05443

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

Martin Lustig·Caglar Uyanik
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Abstract

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.

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Martin Lustig, Caglar Uyanik. 2015-09-17. North-South dynamics of hyperbolic free group automorphisms on the space of currents. https://doi.org/10.1142/s1793525319500201

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