Using Lipschitz distance on Outer space we give another proof of the train track theorem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-1-1,
author = {Mladen Bestvina},
title = {A Bers-like proof of the existence of train tracks for free group automorphisms},
journal = {Fundamenta Mathematicae},
volume = {215},
year = {2011},
pages = {1-12},
zbl = {1248.20025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-1-1}
}
Mladen Bestvina. A Bers-like proof of the existence of train tracks for free group automorphisms. Fundamenta Mathematicae, Tome 215 (2011) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-1-1/