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• W4283744928 abstract "The numerical quantification of the statistics of rare events in stochastic processes is a challenging computational problem. We present a sampling method that constructs an ensemble of stochastic trajectories that are constrained to have fixed start and end points (so-called stochastic bridges). We then show that by carefully choosing a set of such bridges and assigning an appropriate statistical weight to each bridge, one can focus more processing power on the rare events of a target stochastic process while faithfully preserving the statistics of these rare trajectories. Further, we also compare the stochastic bridges we produce to the Wentzel-Kramers-Brillouin (WKB) optimal paths of the target process, derived in the limit of low noise. We see that the generated paths, encoding the full statistics of the process, collapse onto the WKB optimal path as the level of noise is reduced. We propose that the method can also be used to judge the accuracy of the WKB approximation at finite levels of noise." @default.
• W4283744928 created "2022-07-02" @default.
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• W4283744928 date "2022-06-30" @default.
• W4283744928 modified "2023-10-16" @default.
• W4283744928 title "Sampling rare trajectories using stochastic bridges" @default.
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• W4283744928 doi "https://doi.org/10.1103/physreve.105.064138" @default.
• W4283744928 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/35854535" @default.
• W4283744928 hasPublicationYear "2022" @default.
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