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math.PR2021
Homogenization of Dissipative Hamiltonian Systems under Lévy Fluctuations
Zibo Wang, Li Lv, Jinqiao Duan
This work is devoted to deriving small mass limiting equation for a class of Hamiltonian systems with multiplicative Lévy noise. Derivation of the limiting equation depends on the…
math.DS2021★ 3 cited
Formulation of Stochastic Contact Hamiltonian Systems
Pingyuan Wei, Zibo Wang
In this work we devise a stochastic version of contact Hamiltonian systems, and show that the phase flows of these systems preserve contact structures. Moreover, we provide a suffi…