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

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.

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

References in corpus (2)

• Ergodic currents dual to a real tree
• Bounding the gap between a free group (outer) automorphism and its inverse

Cited by in corpus (1)

• Spectral theorems for random walks on mapping class groups and $\text{Out}(F_N)$