Semiclassical scarring on tori in KAM Hamiltonian systems

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of the European Mathematical Society

سال: 2021

ISSN: ['1435-9855', '1435-9863']

DOI: https://doi.org/10.4171/jems/1146