Principal Investigator

T T Aste Applied Mathematics, RSPhysSE, ANU

Project Title

Thermodynamics of hyperbolic graphs and the physics of complex systems

Brief Description for General Publications

Complex systems comprise many mutually interacting components characterized by a range of different interactions over time and space. They are dynamical systems whose features are reminiscent of a web with fluctuating links of varying strengths. The natural paradigm for such systems is a generic network, or a graph. In the present project, the APAC facility will be used to generate and characterize graphs embedded on manifolds of different curvature and topology. The aim is two-fold: first to reduce real complex systems (mainly financial systems) to computationally manageable structures (including direct visualisation) and second to construct realistic models of the evolution of such systems.