The stable norm on the 2-torus at irrational directions
classification
🧮 math.DS
math.DG
keywords
normstableirrationaltorusdetectsdirectionsexamplesfinsler
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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.
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