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math.DG2025
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…
math.DS2025
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. This…