Theoretical and numerical aspects of complex systems, addressing the spontaneous emergence of patters and organisation in non-equilibrium systems composed of many interacting entities. My research has often been a integration of theoretical, computational and experimental studies of complex systems involving a rigorous mathematical approach to pioneer new ways of analysing such systems quantitatively. I have been working within the area of complexity science for about 25 years, developing and applying transferable tools and techniques to real world systems in many different contexts: geology (earthquake & reservoir engineering), atmospheric physics (rain), biology (evolution & social insects), sociology (organisational science), medicine (brain & heart) and fire safety (smouldering). In 2005, I co-authored together with Dr. Nicholas Moloney a pedagogical textbook entitled “Complexity and Criticality”.
Keywords: Complexity science, emergent phenomena, self organisation, scale invariance, earthquakes, evolution, networks, atrial fibrillation.
03.1993: Ph.D. degree in Science, Institute of Physics and Astronomy, University of Århus, Denmark.
05.1990: Master in Science, Institute of Physics and Astronomy, University of Århus, Denmark.
et al., 2018, Correlations and hyperuniformity in the avalanche size of the Oslo model, Epl, Vol:122, ISSN:0295-5075
et al., 2018, Machine learning methods for locating re-entrant drivers from electrograms in a model of atrial fibrillation, Royal Society Open Science, Vol:5, ISSN:2054-5703
Fernandez-Anez N, Christensen K, Rein G, 2017, Two-dimensional model of smouldering combustion using multi-layer cellular automaton: The role of ignition location and direction of airflow, Fire Safety Journal, Vol:91, ISSN:0379-7112, Pages:243-251
et al., Two-phase flow up-scaling using Haar wavelets, Vth IMA conference on modelling permeable rocks
et al., Upscaling using Haar wavelets, Computational methods in water resources XVI