This article presents a bifurcation theory of smooth stochastic dynamical systems that are governed by everywhere … of the system. By introducing a weak equivalence notion of these dependence ratios, we arrive at a bifurcation theory for … which in the compact case, the set of stable (non-bifurcating) systems is open and dense. The theory is illustrated with …

A symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of … symmetric network we define a cooperative transferable utility game that measures the power of each coalition of positions in … the network. Applying the Shapley value to this game yields a network power measure, the beta-measure, which reflects the …