The stable norm on the 2-torus at irrational directions
arXiv:1512.02447
Abstract
We study the structure of the stable norm of Finsler metrics on the 2-torus with a focus to points of irrational slope. By our results, the stable norm detects KAM-tori and hyperbolicity in the geodesic flow. Moreover, we study the stable norm in some natural examples.
32 pages, 3 figures