Proves persistence of most probable KAM tori under multiplicative noise in stochastic Hamiltonian systems and obtains the large-deviation rate function for trajectory deviations.
Stochastic Hamiltonian systems: exponential convergence to the invariant measure, and discretization by the implicit Euler scheme
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Quasi-periodic invariant tori persist in stochastic Hamiltonian systems along the most probable path given by the Onsager-Machlup functional, which coincides with the large deviation rate function.
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Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
Proves persistence of most probable KAM tori under multiplicative noise in stochastic Hamiltonian systems and obtains the large-deviation rate function for trajectory deviations.
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Most Probable KAM Tori in Stochastic Hamiltonian Systems
Quasi-periodic invariant tori persist in stochastic Hamiltonian systems along the most probable path given by the Onsager-Machlup functional, which coincides with the large deviation rate function.