Dynamics of Hyperbolic Iwips

نویسندگان

  • CAGLAR UYANIK
  • Christopher J. Leininger
چکیده

We present two proofs of the fact, originally due to Reiner Martin, that any fully irreducible hyperbolic element of Out(FN ) acts on the projectivized space of geodesic currents PCurr(FN ) with uniform north-south dynamics. The first proof, using purely train-track methods, provides an elaborated and corrected version of Reiner Martin’s original approach. The second proof uses the geometric intersection form of Kapovich and Lustig and relies on unique ergodicity results from symbolic dynamics.

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تاریخ انتشار 2014