The graph limit of the minimizer of the Onsager-Machlup functional and its computation
From MaRDI portal
Publication:829447
DOI10.1007/s11425-019-1650-7zbMath1462.35007arXiv2003.03070OpenAlexW3013327298MaRDI QIDQ829447
Weiqing Ren, Qiang Du, Xiaoguang Li, Tie-Jun Li
Publication date: 6 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.03070
graph limitMaupertuis principleOnsager-Machlup functionalFreidlin-Wentzell functionalgeometric minimization
Numerical optimization and variational techniques (65K10) Variational methods applied to PDEs (35A15) Applications of statistics to physics (62P35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)
Related Items
The most probable transition paths of stochastic dynamical systems: a sufficient and necessary characterisation ⋮ Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive high-order minimum action method
- The string method as a dynamical system
- On the Onsager-Machlup functional of diffusion processes around non \(C^ 2\) curves
- The Onsager-Machlup function for diffusion processes
- The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process
- A scaling theory of bifurcations in the symmetric weak-noise escape problem.
- Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
- Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
- \(\Gamma \)-limit for transition paths of maximal probability
- Towards a theory of transition paths
- MAP estimators for piecewise continuous inversion
- Differentiability of the conjugacy in the Hartman-Grobman Theorem
- The geometric minimum action method: A least action principle on the space of curves
- Lagrangian flows: The dynamics of globally minimizing orbits
- Lagrangian flows: The dynamics of globally minimizing orbits-II
- Minimum action method for the study of rare events
- Fluctuations and Irreversible Processes
- Hyperbolic Conservation Laws in Continuum Physics