North–South dynamics of hyperbolic free group automorphisms on the space of currents-Reference-Cited by-同舟云学术

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

Published:2019-06 Issue:02 Volume:11 Page:427-466
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Lustig Martin¹,Uyanik Caglar²

Affiliation:

1. Aix Marseille Université, CNRS, Centrale Marseille, I2M UMR 7373 13453, Marseille, France

2. Vanderbilt University, Department of Mathematics, 1326 Stevenson Center, Nashville, TN 37240, USA

Abstract

Let [Formula: see text] be a hyperbolic outer automorphism of a non-abelian free group [Formula: see text] such that [Formula: see text] and [Formula: see text] admit absolute train track representatives. We prove that [Formula: see text] acts on the space of projectivized geodesic currents on [Formula: see text] with generalized uniform North-South dynamics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525319500201

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2. Hyperbolicity of the complex of free factors

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5. Geodesic currents on negatively curved groups

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