Brain function is a product of the balance between excitatory and inhibitory (E/I) brain
activity. Variation in the regulation of this activity is thought to give rise to normal variation in …

The neural criticality hypothesis states that the brain may be poised in a critical state at a
boundary between different types of dynamics. Theoretical and experimental studies show …

Homeostatic mechanisms stabilize neuronal activity in vivo, but whether this process gives
rise to balanced network dynamics is unknown. Here, we continuously monitored the …

Power laws are theoretically interesting probability distributions that are also frequently used
to describe empirical data. In recent years, effective statistical methods for fitting power laws …

Random Matrix Theory (RMT) is applied to analyze the weight matrices of Deep Neural
Networks (DNNs), including both production quality, pre-trained models such as AlexNet …

Relatively recent work has reported that networks of neurons can produce avalanches of
activity whose sizes follow a power law distribution. This suggests that these networks may …

What constitutes normal cortical dynamics in healthy human subjects is a major question in
systems neuroscience. Numerous in vitro and in vivo animal studies have shown that …

The past 40 years have witnessed extensive research on fractal structure and scale-free
dynamics in the brain. Although considerable progress has been made, a comprehensive …

Power laws and distributions with heavy tails are common features of many complex
systems. Examples are the distribution of earthquake magnitudes, solar flare intensities and …

In self-organized critical (SOC) systems avalanche size distributions follow power-laws.
Power-laws have also been observed for neural activity, and so it has been proposed that …