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

被引：6

作者：

Lustig, Martin ^{[1
]}

Uyanik, Caglar ^{[2
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M UMR 7373, F-13453 Marseille, France

[2] Vanderbilt Univ, Dept Math, 1326 Stevenson Ctr, Nashville, TN 37240 USA

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2019年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Free groups; geodesic currents; hyperbolic automorphisms; COMPLEX; LAMINATIONS; BOUNDARY; TREES; WALKS;

D O I：

10.1142/S1793525319500201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi be a hyperbolic outer automorphism of a non-abelian free group F-N such that phi and phi(-1) admit absolute train track representatives. We prove that phi acts on the space of projectivized geodesic currents on F-N with generalized uniform North-South dynamics.

引用

页码：427 / 466

页数：40

共 4 条

[1] Generalized north-south dynamics on the space of geodesic currents
Uyanik, Caglar
GEOMETRIAE DEDICATA, 2015, 177 (01) : 129 - 148
[2] Generalized north–south dynamics on the space of geodesic currents
Caglar Uyanik
Geometriae Dedicata, 2015, 177 : 129 - 148
[3] Slow north-south dynamics on PML
Bell, Mark C.
Schleimer, Saul
GROUPS GEOMETRY AND DYNAMICS, 2017, 11 (03) : 1103 - 1112
[4] An intersection functional on the space of subset currents on a free group
Sasaki, Dounnu
GEOMETRIAE DEDICATA, 2015, 174 (01) : 311 - 338

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