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arXiv · 1503.03312

Activity of any neuron with delayed feedback stimulated with Poisson stream is non-Markov

Alexander K. Vidybida
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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. Keywords: spiking neuron; Poisson stochastic process; probability density function; delayed feedback; non-Markov stochastic process

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Alexander K. Vidybida. 2015-03-11. Activity of any neuron with delayed feedback stimulated with Poisson stream is non-Markov. https://doi.org/10.1007/s10955-015-1301-2

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