Estimation of statistics of transitions and Hill relation for Langevin dynamics

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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The Fokker-Planck equation with absorbing boundary conditions
Weak backward error analysis for Langevin process
Elliptic partial differential equations of second order
Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
Markov chains and invariant probabilities
Quasi-stationary distribution for the Langevin process in cylindrical domains. I: Existence, uniqueness and long-time convergence
On the Hill relation and the mean reaction time for metastable processes
A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains
Reactive trajectories and the transition path process
Hybrid Monte Carlo methods for sampling probability measures on submanifolds
Molecular dynamics. With deterministic and stochastic numerical methods
Towards a theory of transition paths
Quasi-stationary distribution for Hamiltonian dynamics with singular potentials
Large Deviations and Metastability
Adaptive Multilevel Splitting for Rare Event Analysis
Markov Chains and Stochastic Stability
Sur quelques algorithmes récursifs pour les probabilités numériques
Markov Chains
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
Applied Probability and Queues
Ergodic Properties of Markov Processes
Sampling from a Manifold
Partial differential equations and stochastic methods in molecular dynamics
Multiple projection Markov chain Monte Carlo algorithms on submanifolds
Metastability

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