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- W2034143116 abstract "We consider the class of Markovian processes defined by the equation $dd x /dd t = -beta x + sum_k z_k delta (t-t_k)$. Such processes are encountered in systems (like coalescing systems) where dynamics creates discrete upward jumps at random instants $t_k$ and of random height $z_k$. We observe that the probability for these processes to remain above their mean value during an interval of time $T$ decays as $exp{-theta T}$ defining $theta$ as the persistence exponent. We show that $theta$ takes the value $beta$ which thereby extends the well known result of the Gaussian noise case to a much larger class of non-Gaussian processes." @default.
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- W2034143116 date "2000-09-29" @default.
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- W2034143116 title "A universality class in Markovian persistence" @default.
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- W2034143116 doi "https://doi.org/10.1088/0305-4470/33/40/301" @default.
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