BEHAVIORS OF SPIKE OUTPUT JITTER IN THE INTEGRATE-AND-FIRE MODEL

We consider behaviors of output jitter in the simplest spiking model, the integrate-and-fire model. The full spectrum of behaviors is found: The output jitter is sensitive to the input distribution and can be a constant, diverge to infinity, or converge to zero. Exact formulas fo r the convergence or the divergence of output jitter are given. Our re sults suggest that the exponential distribution is the critical case: A faster rate of decrease in the distribution tail as compared to the exponential distribution tail ensures the convergence of output jitter , whereas slower decay in the distribution tail causes the divergence of output jitter.