Semiclassical scarring on tori in KAM Hamiltonian systems
We show that for almost all perturbations in a one-parameter family of KAM Hamiltonians on a smooth compact surface and for almost all KAM Lagrangian tori \Lambda_\omega , we can find a semiclassical measure with positive mass on \Lambda_\omega .
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| Veröffentlicht in: | Journal of the European Mathematical Society : JEMS 2022-01, Vol.24 (5), p.1769-1790 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that for almost all perturbations in a one-parameter family of KAM Hamiltonians on a smooth compact surface and for almost all KAM Lagrangian tori
\Lambda_\omega
, we can find a semiclassical measure with positive mass on
\Lambda_\omega
. |
|---|---|
| ISSN: | 1435-9855 1435-9863 |
| DOI: | 10.4171/jems/1146 |