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arxiv: 1206.1245 · v3 · pith:4MBOR7DAnew · submitted 2012-06-06 · 🧮 math.DS

The Herman conjecture

Mauricio Garay This is my paper
classification 🧮 math.DS
keywords conjecturehermanconjecturedcriticaldeformationdiophantineellipticexistence
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In the nineties, Michel Herman conjectured the existence of a positive measure set of invariant tori at an elliptic diophantine critical point of a hamiltonian function. I show that KAM versal deformation theory solves positively this conjecture.

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    math.DS 2026-05 unverdicted novelty 3.0

    Presents a simplified version of the Hamiltonian normal form with poles at resonance loci, extracted from prior works, for potentially superior approximations compared to Birkhoff normal form.