, Voltage dynamics is time-continuous. Spikes are time-discrete events (time resolution ? > 0)

, Spike state ? k (n) ? 0

, An Integrate and Fire neural network model with chemical and electric synapses R.Cofré, B. Cessac, Chaos, Solitons and Fractals, 2013 Spikes Voltage dynamics is time-continuous. Spikes are time-discrete events

, Spike state ? k (n) ? 0, 1. Spike pattern ?(n)

, The response to a time dependent stimulus is expressed in terms of correlations of unperturbed dynamics. Which correlations are relevant ? Problem of dimension reduction

, Bruno Cessac Linear Response of General Observables in Spiking Neuronal Ne Gibbs distribution Equilibrium stat

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, Markov chains -finite memory. Chains with complete connections -infinite memory (Left Interval Specification

, Information geometry

S. Amari,

G. Mastromatteo,

R. Herzog, M. J. Escobar, R. Cofré, A. Palacios, and B. Cessac,