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Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

It has long been hypothesized that operating close to the critical state is beneficial for natural, artificial and their evolutionary systems. We put this hypothesis to test in a system of evolving foraging agents controlled by neural…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Sina Khajehabdollahi , Jan Prosi , Emmanouil Giannakakis , Georg Martius , Anna Levina

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

Emulating the neural-like information processing dynamics of the brain provides a time and energy efficient approach for solving complex problems. While the majority of neuromorphic hardware currently developed rely on large arrays of…

Using numerical simulations, we examine the dynamics of active matter run-and-tumble disks moving in a disordered array of obstacles. As a function of increasing active disk density and activity, we find a transition from a completely…

Soft Condensed Matter · Physics 2019-09-13 C. J. O. Reichhardt , C. Reichhardt

Neural population activity often exhibits rich variability and temporal structure. This variability is thought to arise from single-neuron stochasticity, neural dynamics on short time-scales, as well as from modulations of neural firing…

Machine Learning · Statistics 2014-10-14 Mijung Park , Jakob H. Macke

Avalanche dynamics and related power law statistics are ubiquitous in nature, arising in phenomena like earthquakes, forest fires and solar flares. Very interestingly, an analogous behavior is associated with many condensed matter systems,…

Disordered Systems and Neural Networks · Physics 2009-02-09 Benedetta Cerruti , Eduard Vives

Multiple studies of neural avalanches across different data modalities led to the prominent hypothesis that the brain operates near a critical point. The observed exponents often indicate the mean-field directed-percolation universality…

Neurons and Cognition · Quantitative Biology 2022-11-14 Roxana Zeraati , Victor Buendía , Tatiana A. Engel , Anna Levina

Consciousness spans macroscopic experience and microscopic neuronal activity, yet linking these scales remains challenging. Prevailing theories, such as Integrated Information Theory, focus on a single scale, overlooking how causal power…

Neurons and Cognition · Quantitative Biology 2025-09-16 Zhipeng Wang , Yingqi Rong , Kaiwei Liu , Mingzhe Yang , Jiang Zhang , Jing He

Supercooled liquids are metastable states realized by suppressing crystallization below the melting temperature. While it is well established that their dynamics slow down dramatically and become spatially heterogeneous upon cooling, the…

Soft Condensed Matter · Physics 2026-04-07 Norihiro Oyama , Yusuke Hara , Takeshi Kawasaki , Kang Kim

This paper develops a neural jamming phase diagram that interprets the emergence of consciousness in large language models as a critical phenomenon in high-dimensional disordered systems.By establishing analogies with jamming transitions in…

Disordered Systems and Neural Networks · Physics 2025-07-14 Kaichen Ouyang

Shedding light onto how biological systems represent, process and store information in noisy environments is a key and challenging goal. A stimulating, though controversial, hypothesis poses that operating in dynamical regimes near the edge…

Disordered Systems and Neural Networks · Physics 2021-07-14 Guillermo B. Morales , Miguel A. Muñoz

We characterize the distributions of size and duration of avalanches propagating in complex networks. By an avalanche we mean the sequence of events initiated by the externally stimulated `excitation' of a network node, which may, with some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Marshall Y. Carpenter , Edward Ott , Juan G. Restrepo

Readiness potential is a widely observed brain activity in several species including crayfish before the spontaneous behavioral initiation. However, it is poorly understood how this spontaneous activity is generated. The hypothesis that…

Neurons and Cognition · Quantitative Biology 2024-08-05 Katsushi Kagaya , Tomoyuki Kubota , Kohei Nakajima

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between exceedingly ordered and too noisy states. We here…

Populations and Evolution · Quantitative Biology 2016-03-23 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Amos Maritan , Miguel A. Munoz

Many biological and cognitive systems do not operate deep into one or other regime of activity. Instead, they exploit critical surfaces poised at transitions in their parameter space. The pervasiveness of criticality in natural systems…

Adaptation and Self-Organizing Systems · Physics 2017-02-03 Miguel Aguilera , Manuel G. Bedia

A large repertoire of spatiotemporal activity patterns in the brain is the basis for adaptive behaviour. Understanding the mechanism by which the brain's hundred billion neurons and hundred trillion synapses manage to produce such a range…

Neurons and Cognition · Quantitative Biology 2010-10-14 Dante R. Chialvo

In the last decade, several models with network adaptive mechanisms (link deletion-creation, dynamic synapses, dynamic gains) have been proposed as examples of self-organized criticality (SOC) to explain neuronal avalanches. However, all…

Adaptation and Self-Organizing Systems · Physics 2018-10-15 O. Kinouchi , L. Brochini , A. A. Costa , J. G. F. Campos , M. Copelli

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

Biological Physics · Physics 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…