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arxiv: 1811.11346 · v1 · pith:KFWOJDXFnew · submitted 2018-11-28 · 🧮 math.AP

Semiclassical scarring on tori in KAM Hamiltonian systems

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keywords almostlambdaomegasemiclassicaltoricompactfamilyfind
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We show that for almost all perturbations in a one-parameter family of KAM Hamiltonians on a smooth compact surface, for almost all KAM Lagrangian tori $\Lambda_\omega$, we can find a semiclassical measure with positive mass on $\Lambda_\omega$.

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