Journal
PHYSICAL REVIEW E
Volume 80, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.036101
Keywords
biocybernetics; Markov processes; network theory (graphs)
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We introduce a framework wherein various measurements of a pulse-coupled network's stationary dynamics can be expanded in terms of the network's connectivity. Such measurements include the occurrence rate of pulses (e.g., firing rates within a neuronal network) as well as higher-order correlations in activity between various nodes in the network. The various terms in this expansion can be interpreted as diagrams corresponding to subnetworks of the original network, which span both space (in terms of the network's graph) as well as time (in the sense of causality).
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