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Activity of Excitatory Neuron with Delayed Feedback Stimulated with Poisson Stream is Non-Markov. J. Stat. Phys., 160(6), 2015, 1507-1518.
Abstract For a class of excitatory spiking neuron models with delayed feedback fed with a
Poisson stochastic process, it is proven that the stream of output interspike intervals cannot
be presented as a Markov process of any order.