Accelerating Network Statistical Dynamics
19 Pages Posted: 16 Jan 2014
Date Written: December 29, 2013
Recently there has been great interest in studying the complexity of networks in ever more complex detail that includes the study of their acceleration, varying and possibly random strengths of links and therefore structure, and the study of the network topology and its hidden metrics which derive dynamical laws. In short the increasing detailed complexity of the description of networks, the research and its application to ever more detailed physical and statistical dynamics of networks has brought networks to the mathematics of nonlinear statistical dynamics of interacting systems, of which complex systems these currently studied networks are special cases of, and which can be described by a general field theory. In this letter we present towards a complete theory that would take into account inherent structure and external influences and perturbations a nonextensive statistical dynamics of accelerating networks and of varying links weights, the current state of the art, and describing the hidden metric topology that is associated with the nonlinear and nonextensive theory.
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