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- W3100354161 abstract "We present a systematic analysis of stochastic processes conditioned on an empirical observable $$Q_T$$ defined in a time interval [0, T], for large T. We build our analysis starting with a discrete time Markov chain. Results for a continuous time Markov process and Langevin dynamics are derived as limiting cases. In the large T limit, we show how conditioning on a value of $$Q_T$$ modifies the dynamics. For a Langevin dynamics with weak noise and conditioned on $$Q_T$$ , we introduce large deviation functions and calculate them using either a WKB method or a variational formulation. This allows us, in particular, to calculate the typical trajectory and the fluctuations around this trajectory when conditioned on a certain value of $$Q_T$$ , for large T." @default.
- W3100354161 created "2020-11-23" @default.
- W3100354161 creator A5035928459 @default.
- W3100354161 creator A5038497147 @default.
- W3100354161 date "2019-05-31" @default.
- W3100354161 modified "2023-09-27" @default.
- W3100354161 title "Large deviations conditioned on large deviations I: Markov chain and Langevin equation" @default.
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- W3100354161 doi "https://doi.org/10.1007/s10955-019-02321-4" @default.
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