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math-ph2000★ 124 cited
Time Quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
Dario Bambusi, Sandro Graffi
We eliminate by KAM methods the time dependence in a class of linear differential equations in subject to an unbounded, quasi-periodic forcing. This entails the pure-point…
cond-mat.stat-mech2000★ 11 cited
Statistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour
M. Degli Esposti, C. Giardina', S. Graffi +1
We consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy…
math-ph2000★ 33 cited
Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator
Sandro Graffi, Kenji Yajima
We prove that the Floquet spectrum of a class of time-periodic Schroedinger equations under a a mildly nonlinear resonant forcing is purely absolutely continuous.