Mean mutual information and symmetry breaking for finite random fields
G. Edelman, O. Sporns and G. Tononi have introduced the of a family of random variables, defining it as a specific average of mutual information over subfamilies. We show that their choice of weights satisfies two natural properties, namely invariance under permutations and additivity, and we call any functional satisfying these two properties an . We classify all intricacies in terms of probability laws on the unit interval and study the growth rate of maximal intricacies when the size of the...