COMPLEXITY AND CRITICALITY

By Preben Alstrøm, T. Bohr, K. Christensen, Henrik Flyvbjerg, M. Jensen, B. Lautrup, K. Sneppen. 2004

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Emergent complex neural dynamics (2010, background): “[4] Christensen K & Moloney NR, Complexity and Criticality, Imperial College Press, (2005).”
Topological effects in nanomagnetism: from superparamagnetism to chiral quantum solitons (2012, background): “Finally, it is interesting to see that the system seems to organize into a type of self-organized critical state 223 , where some domains are just marginally stable and can be reversed via an infinitesimal external field.”
Critical phenomena in atmospheric precipitation (2006, unknown): “SOC has been proposed as an explanation for scale-free behaviour in many different physical system”
Fitting and goodness-of-fit test of non-truncated and truncated power-law distributions (2012, background): “ariant under (properly performed) linear rescaling of axes (both x and f) and therefore have no characteristic scale, and hence cannot be used to deﬁne a prototype of the observable represented by x (Christensen and Moloney, 2005; Corral, 2008; Newman, 2005; Takayasu, 1989). For example, no unit of ”
Colloquium: Criticality and dynamical scaling in living systems (2017, background): “. (ii) transitions to collective ordered motion, as represented for instance by the Vicsek model (Vicsek et al., 1995; Vicsek and Zafeiris, 2012)) and its variants; and (iii) percolation transitions (Christensen and Moloney, 2005), and (iv) even (thermodynamic) transitions such as that of the Ising ”