Two Mathematical Tools to Analyze Metastable Stochastic Processes

DOI10.1007/978-3-642-33134-3_83zbMath1272.82027arXiv1201.3775OpenAlexW1777223401MaRDI QIDQ2838567

Tony Lelièvre

Publication date: 10 July 2013

Published in: Numerical Mathematics and Advanced Applications 2011 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3775

zbMATH Keywords

Langevin dynamicsparallel replica dynamicskinetic Monte Carlo models

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (13)

Variance reduction using nonreversible Langevin samplers ⋮ Error analysis of modified Langevin dynamics ⋮ An ergodic theorem for the weighted ensemble method ⋮ Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion ⋮ Full Metastable Asymptotic of the Fisher Information ⋮ Optimizing Weighted Ensemble Sampling of Steady States ⋮ Analysis of an adaptive biasing force method based on self-interacting dynamics ⋮ An Automatic Adaptive Importance Sampling Algorithm for Molecular Dynamics in Reaction Coordinates ⋮ Self-healing umbrella sampling: convergence and efficiency ⋮ Partial differential equations and stochastic methods in molecular dynamics ⋮ Generalizing Parallel Replica Dynamics: Trajectory Fragments, Asynchronous Computing, and PDMPs ⋮ Metastability for systems of interacting neurons ⋮ Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias

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