Proves persistence of most probable KAM tori under multiplicative noise in stochastic Hamiltonian systems and obtains the large-deviation rate function for trajectory deviations.
Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems.Stochastic Process
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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.