Spectral Modes of Network Dynamics Reveal Increased Informational Complexity Near Criticality

Spectral Modes of Network Dynamics Reveal Increased Informational Complexity Near Criticality

What does the informational complexity of dynamical networked systems tell us about intrinsic mechanisms and functions of these complex systems? Recent complexity measures such as integrated information have sought to operationalize this problem taking a whole-versus-parts perspective, wherein one explicitly computes the amount of information generated by a network as a whole over and above tha...

Essays on Network Dynamics and Informational Value of Virtual Communities

Self-organized criticality and coevolution of network structure and dynamics.

We investigate, by numerical simulations, how the avalanche dynamics of the Bak-Tang-Wiesenfeld sandpile model can induce emergence of scale-free networks and how this emerging structure affects dynamics of the system.

Complexity, Criticality and Computation

What makes a system “complex”? Is it merely the number of components it integrates, a nonlinear nature of the dependencies and feedbacks among its parts, or an unpredictable behavior it exhibits over time? The term “complexity” was initially applied generically to express the lack of predictability, reflecting on the self-organization of a synergistic macroscopic behavior out of interactions be...

The quasi-normal modes of quantum criticality

Abstract We study charge transport of quantum critical points described by conformal field theories in 2+1 spacetime dimensions. The transport is described by an e↵ective field theory on an asymptotically antide Sitter spacetime, expanded to fourth order in spatial and temporal gradients. The presence of a horizon at non-zero temperatures implies that this theory has quasi-normal modes with com...