In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.

Paper discussing the detection of invisible and crucial events.

This article reviews the literature to argue the importance of the occurrence of crucial events in the dynamics of physiological processes. Crucial events are interpreted as short time intervals of turbulence, and the time distance between two consecutive crucial events is a waiting time distribution density with an inverse power law (IPL) index µ, with µ < 3 generating non-stationary behavior.

Article on diffusion entropy and waiting time statistics of hard-x-ray solar flares.

Article discussing research on cooperation and neural systems and bridging complexity and periodicity.

Article on the renewal and memory origin of anomalous diffusion and a discussion of their joint action.

This article addresses the question of how teams cope with environmental threats by investigating two drivers of team resilience: the team size and the density of social interactions among team members.

This article proposes a social model of spontaneous self-organization generating criticality and resilience, called Self-Organized Temporal Criticality (SOTC).

Article discussing a study on complexity and the fractional calculus.

Article exploring the topology of black holes.

This article is the fourth paper of the Special Issue Memory and Criticality. It bridges the the theoretical debate on the role of memory and criticality discussed in the three earlier manuscripts, with a review of key concepts in biology and focus on cell-to-cell communication in organismal development. The authors suggest that in conjunction with morphogenetic gradients, there exist gradients of information transfer creating cybernetic loops of stability and disorder, setting the stage for adaptive capability. Criticality, therefore, appears to be an important factor in the transmission, transfer and coding of information for complex adaptive system development.

This article is a review discussing the origin, development, and application of the renormalization group (RG) method in a variety of fields from the physical, social and life sciences, in singular perturbation theory, and reveal the need to connect the RG and the fractional calculus (FC). The authors also present recommendations for future research based on this new way of thinking.

This article is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal time series extensively discussed in the prequels and how they differ in function from multifractal time series, using physiological phenomena as exemplars.

This article establishes an approach that simultaneously detects the statistical properties of crucial events and a connection with the wave-like nature of brain dynamics.

This article introduces a novel technique of fMRI images analysis, called computational proximity method, i.e., nucleus clustering in Voronoï tessellations.

This article introduces a form of Self-organized Criticality (SOC) inspired by the new generation of evolutionary game theory, which ranges from physiology to sociology.

This article discusses cooperation-induced topological complexity and the emergence of intelligence.

Article discussing the criticality of transition processes in neurophysiology.

This article emphasizes that 1/f noise has two different origins, one compatible with Laplace determinism and one determined by unpredictable crucial events.

Article explores experimental walking synchronization and complexity restoration. The main goal is to establish a physiological foundation of these important results based on the recent advances on the dynamics of the brain, interpreted as a system at criticality.

Article discussing the dynamic networking and dynamic networks in complex research on psychophysics, psychology, and neurophysiology.

Paper discussing non-Poisson processes and regression to equilibrium versus equilibrium correlation functions.

Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.

This article proposes that the brain (and other self-organised biological systems) can be characterised via the mathematical apparatus of a gauge theory.