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The phenomenological renormalization group (PRG) has been applied to the study of scaleinvariant phenomena in neuronal data, providing evidence for critical phenomena in the brain. However, it remains unclear how reliably these observed…

Disordered Systems and Neural Networks · Physics 2025-06-18 Kaio F. R. Nascimento , Daniel M. Castro , Gustavo G. Cambrainha , Mauro Copelli

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

The brain criticality hypothesis has largely only characterized brain dynamics in terms of their self-similarity, although experimental evidence suggests that the brain exhibits significant multifractality. To understand how multifractality…

Disordered Systems and Neural Networks · Physics 2026-02-03 Merlin Dumeur , Sheng H. Wang , J. Matias Palva , Philippe Ciuciu

The brain's self-monitoring of activities, including internal activities -- a functionality that we refer to as awareness -- has been suggested as a key element of consciousness. Here we investigate whether the presence of an inner-eye-like…

Artificial Intelligence · Computer Science 2017-05-29 José F. Fontanari

In order to remain adaptable to a dynamic environment, neural activity must be simultaneously both sensitive and stable. To solve this problem, the brain has been hypothesised to sit near a critical boundary. Yet, precisely how criticality…

Neurons and Cognition · Quantitative Biology 2023-04-07 Brandon R. Munn , Eli J. Müller , James M. Shine

The critical brain hypothesis states that there are information processing advantages for neuronal networks working close to the critical region of a phase transition. If this is true, we must ask how the networks achieve and maintain this…

Disordered Systems and Neural Networks · Physics 2020-10-22 Osame Kinouchi , Renata Pazzini , Mauro Copelli

Criticality is deeply related to optimal computational capacity. The lack of a renormalized theory of critical brain dynamics, however, so far limits insights into this form of biological information processing to mean-field results. These…

Disordered Systems and Neural Networks · Physics 2022-05-04 Lorenzo Tiberi , Jonas Stapmanns , Tobias Kühn , Thomas Luu , David Dahmen , Moritz Helias

The cognitive functions of human and non-human primates rely on the dynamic interplay of distributed neural assemblies. As such, it seems unlikely that cognition can be supported by macroscopic brain dynamics at the proximity of…

At the point of a second order phase transition also termed as a critical point, systems display long range order and their macroscopic behaviors are independent of the microscopic details making up the system. Due to these properties, it…

Neurons and Cognition · Quantitative Biology 2017-07-18 Vaibhav Wasnik

The critical brain hypothesis receives increasing support from recent experimental results. It postulates that the brain is at a critical point between an ordered and a chaotic regime, sometimes referred to as the "edge of chaos." Another…

Disordered Systems and Neural Networks · Physics 2022-02-08 Lorenz Baumgarten , Stefan Bornholdt

Is the brain really operating at a critical point? We study the non-equilibrium properties of a neural network which models the dynamics of the neocortex and argue for optimal quasi-critical dynamics on the Widom line where the correlation…

Neurons and Cognition · Quantitative Biology 2015-06-19 Rashid V. Williams-Garcia , Mark Moore , John M. Beggs , Gerardo Ortiz

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

In the past few decades, there have been intense debates whether the brain operates at a critical state. To verify the criticality hypothesis in the neuronal networks is challenging and the accumulating experimental and theoretical results…

Neurons and Cognition · Quantitative Biology 2025-02-26 Chia-Ying Lin , Mei Ian Sam , Yi-Ching Tsai , Hsiu-Hau Lin

Quantum criticality within Dirac fermions harbors a plethora of exotic phenomena, attracting sustained attention in the past decades. Here, we explore the imaginary-time relaxation dynamics in a typical Dirac quantum criticality belonging…

Strongly Correlated Electrons · Physics 2026-02-26 Yin-Kai Yu , Zhi Zeng , Yu-Rong Shu , Zi-Xiang Li , Shuai Yin

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

It is frequently hypothesized that cortical networks operate close to a critical point. Advantages of criticality include rich dynamics well-suited for computation and critical slowing down, which may offer a mechanism for dynamic memory.…

Disordered Systems and Neural Networks · Physics 2024-01-30 Michael Dick , Alexander van Meegen , Moritz Helias

How does the brain optimize sensory information for decision-making in new tasks? One hypothesis suggests learning reduces redundancy in neural representations to improve efficiency, while another, based on Bayesian inference, predicts…

Neurons and Cognition · Quantitative Biology 2026-03-10 Shizhao Liu , Anton Pletenev , Ralf M. Haefner , Adam C. Snyder

Task based neuroimaging tools for the study of cognitive neuroscience provide insight into understanding how the brain responds to increasing cognitive demand. Theoretical models of neural-cognitive relationships have been developed based…

Quantitative Methods · Quantitative Biology 2016-06-21 Jason Steffener , Karen Li , Syrina Alain , Johannes Frasnelli
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