Reactive trajectories and the transition path process
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Publication:2257121
DOI10.1007/s00440-014-0547-yzbMath1343.60074arXiv1303.1744OpenAlexW2151822821MaRDI QIDQ2257121
Publication date: 23 February 2015
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1744
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Classical flows, reactions, etc. in chemistry (92E20) Applications of stochastic analysis (to PDEs, etc.) (60H30)
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Transition path properties for one-dimensional systems driven by Poisson white noise ⋮ An Eyring-Kramers law for slowly oscillating bistable diffusions ⋮ Explore stochastic instabilities of periodic points by transition path theory ⋮ Spectral Theory for Random Poincaré Maps ⋮ Data-driven method to learn the most probable transition pathway and stochastic differential equation ⋮ Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver ⋮ Stochastic model for barrier crossings and fluctuations in local timescale ⋮ Optimal control for sampling the transition path process and estimating rates ⋮ Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes ⋮ Point Cloud Discretization of Fokker--Planck Operators for Committor Functions ⋮ Local and global perspectives on diffusion maps in the analysis of molecular systems ⋮ Statistical analysis of the first passage path ensemble of jump processes ⋮ Partial differential equations and stochastic methods in molecular dynamics ⋮ Flows in complex networks: theory, algorithms, and application to lennard-Jones cluster rearrangement ⋮ Compactness of molecular reaction paths in quantum mechanics ⋮ Solving for high-dimensional committor functions using artificial neural networks ⋮ A Convergent Discretization Method for Transition Path Theory for Diffusion Processes ⋮ Committor functions via tensor networks ⋮ On the Hill relation and the mean reaction time for metastable processes
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