15 citations · 22 across the 14 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2022★ 15 cited
From Second-Order Differential Geometry to Stochastic Geometric Mechanics
Qiao Huang, Jean-Claude Zambrini
Classical geometric mechanics, including the study of symmetries, Lagrangian and Hamiltonian mechanics, and the Hamilton-Jacobi theory, are founded on geometric structures such as…
math-ph2021
The Most Probable Transition Paths of Stochastic Dynamical Systems: A Sufficient and Necessary Characterization
Yuanfei Huang, Qiao Huang, Jinqiao Duan
The most probable transition paths of a stochastic dynamical system are the global minimizers of the Onsager-Machlup action functional and can be described by a necessary but not s…