English

Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space

Group Theory 2016-01-20 v3 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.1406.0434,
  title  = {Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space},
  author = {Ilya Kapovich and Martin Lustig},
  journal= {arXiv preprint arXiv:1406.0434},
  year   = {2016}
}

Comments

some minor updates and revisions; 18 pages, no figures; to appear in the Pacific Journal of Mathematics