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Название: Drift and Diffusion in Periodically Driven Renewal Processes
Авторы: Prager T., Schimansky-Geier L.
We consider the drift and diffusion properties of periodically driven renewal processes. These processes are deﬁned by a periodically time dependent waiting time distribution, which governs the interval between subsequent events. We show that the growth of the cumulants of the number of events is asymptotically periodic and develop a theory which relates these periodic growth coefﬁcients to the waiting time distribution deﬁning the periodic renewal process. The ﬁrst two coefﬁcients, which are the mean frequency and effective diffusion coefﬁcient of the number of events are considered in greater detail. They may be used to quantify stochastic synchronization.