Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver

DOI10.1137/21m1437883zbMath1517.60087arXiv2010.09988MaRDI QIDQ6109118

Tie-Jun Li, Jian-Guo Liu, Yuan Gao, Xiaoguang Li

Publication date: 30 June 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09988

zbMATH Keywords

reaction ratesnonlinear dimension reductioncontrolled Markov processmost probable pathcommittor functionrealize rare events almost surely

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Monte Carlo methods (65C05) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (7)

Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence ⋮ Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup ⋮ A Selection Principle for Weak KAM Solutions via Freidlin–Wentzell Large Deviation Principle of Invariant Measures ⋮ Hamilton Dynamics in Chemical Reactions: the Maupertuis Principle, Transition Paths and Energy Landscape ⋮ The most probable transition paths of stochastic dynamical systems: a sufficient and necessary characterisation ⋮ Structure preserving schemes for Fokker-Planck equations of irreversible processes ⋮ Optimal control for sampling the transition path process and estimating rates

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