Physical Information among Statistically Independent Processes in Coevolutionary Systems

There is a common misconcepton that statistically independent processes cannot share any information. In reality, the absence of statistical codependence does not preclude the existence of physical interactions. In order to bring out and characterize that hidden information in terms of microphysical interaction indicators, Rui A. P. Perdigão has formulated a new set of informaton measures and introduced them in [1]. The findings stress the relevance of taking nonlinear microphysical coevolution into account when formulating information measures, especially when a system is undergoing mixing among subsystems such as in thermodynamic coevolutionary settings.

[1] Perdigão, Rui A.P. (2018): Polyadic Entropy, Synergy and Redundancy among Statistically Independent Processes in Nonlinear Statistical Physics with Microphysical Codependence. Entropy 2018, 20(1), 26; doi:10.3390/e20010026


Mathematical Physics and Predictability of Complex Coevolutionary Systems

Meteoceanics chair Prof. Dr. Rui Perdigão has launched an international program on the mathematical physics of complexity. The program entails the theoretical establishment of the fundamental principles and general governing laws for complex systems, including the far from equilibrium coevolutionary dynamics where the ergodic assumptions of classical dynamical system theories do not work. The theory provides fundamental physical understanding and dynamic predictability in non-standard systems where there are no established invariants of motion, no attractors, no definite phase space, and no scale separability (i.e. where the classical scale interaction paradigms are not possible, and the predictability of both deterministic and stochastic formulations collapse).

A series of projects are set within this program, from fundamental mathematical physics to applications including complex system modelling, big data analytics, robust assessment of environmental conditions in fast-changing theatres of operation, dynamic risk assessment and decision support under trans-critical climate change.