Transition probability matrices for simple Boolean network systems.

On the left is a disintegrated system, where E(X) = E(X¹) + E(X²) = 2bit (i.e. the whole is equal to the sum of the parts). In the middle is a highly integrated system, where E(X) = 1 bit and both E(Xⁱ) = 0 bit (i.e. the whole is greater than the sum of it’s parts). On the right, a random system, combining a heterogenous mixture of integrated and segregated dynamics.