NorthSouth dynamics of hyperbolic free group automorphisms on the space of currents
Abstract
Let $\varphi$ be a hyperbolic outer automorphism of a nonabelian 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 NorthSouth dynamics.
 Publication:

arXiv eprints
 Pub Date:
 September 2015
 DOI:
 10.48550/arXiv.1509.05443
 arXiv:
 arXiv:1509.05443
 Bibcode:
 2015arXiv150905443L
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Dynamical Systems;
 Mathematics  Geometric Topology;
 20F65
 EPrint:
 v3, 35pp, 2 figures. Major revisions following reviewer's comments