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.
Sur un nouveau théorème-limite de la théorie des probabilités
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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.