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Pairs of neurons in brain networks often share much of the input they receivefrom other neurons. Due to essential non-linearities of neuronal dynamics, theconsequences for the correlation of the output spike trains are not wellunderstood in the strongly correlated regime. Here we consider two leakyintegrate-and-fire neurons with correlated white noise input. We analyze thisscenario using a novel non-perturbative approach. Hence our treatment coversboth weakly and strongly correlated dynamics, generalizing previous resultsbased on linear response theory.

Solving the 2-Dimensional Fokker-Planck Equation for Strongly Correlated Neurons