4 papers
Metastable Transitions in Dynamical Systems with both Time-varying Perturbations and Degenerate Noise
Hanru Zou, Hongjun Gao, Pingyuan Wei +1
This paper investigates the persistence of maximum likelihood paths in degenerate stochastic differential systems and quantifies how small periodic perturbations modulate the metas…
Onsager--Machlup functionals for McKean--Vlasov SDEs via Euler-type approximation
Ying Chao, Pingyuan Wei
The Onsager--Machlup action functional provides a variational framework for characterizing the most probable transition paths of stochastic systems and plays an important role in t…
The stochastic Hamilton-Jacobi-Bellman equation on Jacobi structures
Pingyuan Wei, Qiao Huang, Jinqiao Duan
Jacobi structures are known to generalize Poisson structures, encompassing symplectic, cosymplectic, and Lie-Poisson manifolds. Notably, other intriguing geometric structures -- su…
Transition pathways for a class of degenerate stochastic dynamical systems with Lévy noise
Ying Chao, Pingyuan Wei
This work is devoted to deriving the Onsager--Machlup function for a class of degenerate stochastic dynamical systems with (non-Gaussian) Lévy noise as well as Brownian noise. Thi…