Damped oscillations of the probability of random events followed by absolute refractory period

05/24/2019

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by   A. V. Paraskevov, et al.

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Many events are followed by absolute refractoriness, when for some time after the event a repetition of a similar event is impossible. If uniform events, each of which is followed by the same period of absolute refractoriness, occur randomly, as in the Bernoulli scheme, then the event probability as a function of time exhibits damped oscillations. Here we give an exact analytical description of the oscillations, with the focus on applying in neuroscience.