42 citations · 63 across the 14 of their papers we have counts for
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math.DS2018
Characterization of the Most Probable Transition Paths of Stochastic Dynamical Systems with Stable Lévy Noise
Yuanfei Huang, Ying Chao, Shenglan Yuan +1
This work is devoted to the investigation of the most probable transition path for stochastic dynamical systems driven by either symmetric -stable Lévy motion () or Brown…
math.DS2018★ 12 cited
Hamiltonian Systems with Lévy Noise: Symplecticity, Hamilton's Principle and Averaging Principle
Pingyuan Wei, Ying Chao, Jinqiao Duan
This work focuses on topics related to Hamiltonian stochastic differential equations with Lévy noise. We first show that the phase flow of the stochastic system preserves symplecti…
math.DS2018★ 2 cited
Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
Ying Chao, Pingyuan Wei, Shenglan Yuan
This work deals with the dynamics of a class of stochastic dynamical systems with a multiplicative non-Gaussian Levy noise. We first establish the existence of stable and unstable…