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- W2970132105 abstract "The prediction and estimate of rare events is an important task in disciplines that range from physics and biology, to economics and social science. A peculiar aspect of the mechanism that drives rare events is described by the so called Big Jump Principle. According to the principle, in heavy-tailed processes a rare huge fluctuation is caused by a single event and not by the usual coherent accumulation of small deviations. We consider generalized Levy walks, a class of stochastic models with wide applications, from complex transport to search processes, that accounts for complex microscopic dynamics in the single stretch. We derive the bulk of the probability distribution and using the big jump principle, the exact form of the tails that describes rare events. We show that the tails of the distribution feature non-universal and non-analytic behaviors, that crucially depend on the dynamics of the single step. The big jump estimate also provides a physical explanation of the processes driving the rare events, opening new possibilities for their correct prediction." @default.
- W2970132105 created "2019-09-05" @default.
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- W2970132105 date "2019-08-28" @default.
- W2970132105 modified "2023-09-27" @default.
- W2970132105 title "Microscopic dynamics in rare events: generalized L'evy processes and the big jump principle" @default.
- W2970132105 hasPublicationYear "2019" @default.
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