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math.AP2018
Semiclassical scarring on tori in KAM Hamiltonian systems
Sean Gomes, Andrew Hassell
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 , we can find a semicla…
math.AP2018★ 1 cited
KAM Hamiltonians are not Quantum Ergodic
Sean Gomes
We show that under generic conditions, the quantisation of a -parameter family of KAM perturbations of a completely integrable and Kolmogorov non-degenerate Gevrey sm…