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- W2963282395 abstract "We propose a novel stochastic method to exactly generate Brownian paths conditioned to start at an initial point and end at a given final point during a fixed time $t_{f}$. These paths are weighted with a probability given by the overdamped Langevin dynamics. We show how these paths can be exactly generated by a local stochastic differential equation. The method is illustrated on the generation of Brownian bridges, Brownian meanders, Brownian excursions and constrained Ornstein-Uehlenbeck processes. In addition, we show how to solve this equation in the case of a general force acting on the particle. As an example, we show how to generate constrained path joining the two minima of a double-well. Our method allows to generate statistically independent paths, and is computationally very efficient." @default.
- W2963282395 created "2019-07-30" @default.
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- W2963282395 date "2015-06-30" @default.
- W2963282395 modified "2023-10-13" @default.
- W2963282395 title "Effective Langevin equations for constrained stochastic processes" @default.
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- W2963282395 doi "https://doi.org/10.1088/1742-5468/2015/06/p06039" @default.
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