Input-output consistency in integrate and fire interconnected neurons

Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that some neurons becomes input others. The should reproduce main features to avoid distortion when it other neurons, is and exhibit sort consistency. In this paper, we consider question: how mathematically characterize order get consistent output? Here interpret consistency by requiring reproducibility tail behaviour interspike distributions output. Our answer refers system interconnected with stochastic perfect integrate fire units. particular, show class regularly-varying vectors possible choice obtain such Some further necessary technical hypotheses are added.