| Title: |
Patterson–Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space |
| Authors: |
Kapovich, Ilya; Lustig, Martin |
| Contributors: |
Department of Mathematics Urbana; University of Illinois at Urbana-Champaign Urbana (UIUC); University of Illinois System-University of Illinois System; Institut de Mathématiques de Marseille (I2M); Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS); The first author was supported by the Collaboration Grant no. 279836 (2013-1018) from the Simons Foundation and by the NSF grant DMS-1405146. Both authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” (the GEAR Network). |
| Source: |
ISSN: 0030-8730. |
| Publisher Information: |
CCSD; Mathematical Sciences Publishers |
| Publication Year: |
2015 |
| Collection: |
Aix-Marseille Université: HAL |
| Subject Terms: |
geodesic currents; Patterson–Sullivan measures; Culler–Vogtmann's outer space; 20F65; 57M07; 37B99; 37D40; [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]; [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] |
| Description: |
Some minor updates and revisions; 18 pages, no figures. ; International audience ; We quantitatively relate the Patterson-Sullivant currents and generic stretching factors for free group automorphisms to the asymmetric Lipschitz metric on Outer space and to Guirardel's intersection number. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/1406.0434; ARXIV: 1406.0434 |
| DOI: |
10.2140/pjm.2015.277.371 |
| Availability: |
https://hal.science/hal-01318444; https://doi.org/10.2140/pjm.2015.277.371 |
| Accession Number: |
edsbas.E8957E0F |
| Database: |
BASE |