| Title: |
North-South dynamics of hyperbolic free group automorphisms on the space of currents |
| Authors: |
Lustig, Martin; Uyanik, Caglar |
| Contributors: |
Institut de Mathématiques de Marseille (I2M); Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS); Department of Mathematics Urbana; University of Illinois at Urbana-Champaign Urbana; University of Illinois System-University of Illinois System; The authors gratefully acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 ”RNMS: GEometric structures And Representation varieties” (the GEAR Network).” The first author was partially supported by the french research grant ANR-2010-BLAN-116-01 GGAA. The second author was partially supported by the NSF grants of Ilya Kapovich (DMS 1405146) and Christopher J. Leininger (DMS 1207183).; ANR-10-BLAN-0116,GGAA,Aspects geometriques, analytiques et algorithmiques des groupes(2010) |
| Source: |
https://hal.archives-ouvertes.fr/hal-01318933 ; 2015. |
| Publisher Information: |
HAL CCSD |
| Publication Year: |
2015 |
| Collection: |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| Subject Terms: |
20F65; [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]; [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]; [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] |
| Description: |
Preliminary version. Comments welcome! ; 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. |
| Document Type: |
report |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/1509.05443; hal-01318933; https://hal.archives-ouvertes.fr/hal-01318933; ARXIV: 1509.05443 |
| Availability: |
https://hal.archives-ouvertes.fr/hal-01318933 |
| Accession Number: |
edsbas.E31FEA6E |
| Database: |
BASE |