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The emergence of cosmic structure is commonly considered one of the most complex phenomena in Nature. However, this complexity has never been defined nor measured in a quantitative and objective way. In this work we propose a method to…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-29 Franco Vazza

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

Other Condensed Matter · Physics 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

Entropy drives the phase behavior of colloids ranging from dense suspensions of hard spheres or rods to dilute suspensions of hard spheres and depletants. Entropic ordering of anisotropic shapes into complex crystals, liquid crystals, and…

Soft Condensed Matter · Physics 2014-11-26 Greg van Anders , Daphne Klotsa , N. Khalid Ahmed , Michael Engel , Sharon C. Glotzer

A central premise in evolutionary biology is that individual variation can generate information asymmetries that facilitate the emergence of hierarchical organisation. To examine this process, we develop an agent-based model (ABM) to…

Multiagent Systems · Computer Science 2026-05-06 Shanshan Mao , Peter Tino

Disordered many-body systems exhibit a wide range of emergent phenomena across different scales. These complex behaviors can be utilized for various information processing tasks such as error correction, learning, and optimization. Despite…

Disordered Systems and Neural Networks · Physics 2023-08-04 Weishun Zhong

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

This paper proposes a systems theory approach to the modeling of onset and evolution of criminality in a territory, which aims at capturing the complexity features of social systems. Complexity is related to the fact that individuals have…

Physics and Society · Physics 2017-02-28 N. Bellomo , F. Colasuonno , D. Knopoff , J. Soler

The network of interactions in complex systems, strongly influences their resilience, the system capability to resist to external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in…

Physics and Society · Physics 2018-04-11 Malbor Asllani , Timoteo Carletti

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

Entanglement is the defining characteristic of quantum mechanics. Bipartite entanglement is characterized by the von Neumann entropy. Entanglement is not just described by a number, however; it is also characterized by its level of…

Quantum Physics · Physics 2022-09-26 Sarah True , Alioscia Hamma

How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of…

Neurons and Cognition · Quantitative Biology 2025-07-08 Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Holger Kantz

Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jie Zhang , Changsong Zhou , Xiaoke Xu , Michael Small

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a non-monotonic emergence of order amidst chaos in a turbulent thermo-acoustic fluid system.…

Fluid Dynamics · Physics 2025-02-19 Aswin Balaji , Shruti Tandon , Norbert Marwan , Jürgen Kurths , R. I. Sujith

In the course of the last decades entropic uncertainty relations have attracted much attention not only due to their fundamental role as manifestation of non-classicality of quantum mechanics, but also as major tools for applications of…

Quantum Physics · Physics 2020-05-13 Andreas Ketterer , Otfried Gühne

This paper proposes a theory of creativity, referred to as honing theory, which posits that creativity fuels the process by which culture evolves through communal exchange amongst minds that are self-organizing, self-maintaining, and…

Neurons and Cognition · Quantitative Biology 2019-07-17 Liane Gabora

Spontaneous self-organization is ubiquitous in systems far from thermodynamic equilibrium. While organized structures that emerge dominate transport properties, universal representations that identify and describe these key objects remain…

Computational Physics · Physics 2023-09-29 Adam Rupe , Karthik Kashinath , Nalini Kumar , James P. Crutchfield

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

We propose to examine the predictability and the complexity characteristics of the Standard&Poor500 dynamics behaviors in a coarse-grained way using the symbolic dynamics method and under the prism of the Information theory through the…

Statistical Finance · Quantitative Finance 2021-05-11 Geoffrey Ducournau

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

Infants are experts at playing, with an amazing ability to generate novel structured behaviors in unstructured environments that lack clear extrinsic reward signals. We seek to mathematically formalize these abilities using a neural network…

Machine Learning · Computer Science 2018-11-01 Nick Haber , Damian Mrowca , Li Fei-Fei , Daniel L. K. Yamins
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