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To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

Finding general principles underlying brain function has been appealing to scientists. Indeed, in some branches of science like physics and chemistry (and to some degree biology) a general theory often can capture the essence of a wide…

Neurons and Cognition · Quantitative Biology 2023-12-22 Shervin Safavi

Short-term survival and an exuberant plunge into building our future are generating a new kind of unintended consequence -- hidden fragility. This is a direct effect of the sophistication and structural complexity of the socio-technical…

Physics and Society · Physics 2020-03-26 James P. Crutchfield

A number of elements towards a classification of the quality of emergence in emergent collective systems are provided. By using those elements, several classes of emergent systems are exemplified, ranging from simple aggregations of simple…

Other Computer Science · Computer Science 2016-08-12 Vincenzo De Florio

Investigation of the critical levels and catastrophes in the complex systems of different nature is useful and perspective. Mathematical modeling and analysis is presented for revealing and investigation of the phenomena and critical levels…

Adaptation and Self-Organizing Systems · Physics 2017-04-06 Ivan V. Kazachkov

Complex systems can be described at myriad different scales, and their causal workings often have multiscale structure (e.g., a computer can be described at the microscale of its hardware circuitry, the mesoscale of its machine code, and…

Information Theory · Computer Science 2025-04-22 Erik Hoel

Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

Physics and Society · Physics 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

A central challenge in the study of complex systems is the quantification of emergence -- understood as the ability of the system to exhibit collective behaviours that cannot be traced down to the individual components. While recent work…

The claim that life is an emergent phenomenon exhibiting novel properties and principles is often criticized for being in conflict with causal closure at the microscopic level. I argue that advances in cosmological theory suggesting an…

Astrophysics · Physics 2007-05-23 P. C. W. Davies

The world is changing at an ever-increasing pace. And it has changed in a much more fundamental way than one would think, primarily because it has become more connected and interdependent than in our entire history. Every new product, every…

Physics and Society · Physics 2015-04-16 Dirk Helbing

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

Information Theory · Computer Science 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

This letter seeks to illuminate the profound connection between complexity, self-organization, emergent behaviour, pattern formation, and entropy concepts that are foundational to understanding our universe. By examining these ideas through…

Adaptation and Self-Organizing Systems · Physics 2025-03-25 Vinesh Vijayan , Karpagavalli K , Sandhiya Jenifer J , Prakash R

This chapter does not deal with specific tools and techniques for managing complex systems, but proposes some basic concepts that help us to think and speak about complexity. We review classical thinking and its intrinsic drawbacks when…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Francis Heylighen

Current artificial intelligence systems show near-human-level capabilities when deployed in isolation. Systems of a few collaborating intelligent agents are being engineered to perform tasks collectively. This raises the question of whether…

Soft Condensed Matter · Physics 2025-10-08 Onurcan Bektas , Adolfo Alsina , Steffen Rulands

We aim here to show that reductionism and emergence play a complementary role in understanding natural processes and in the dynamics of science explanation. In particular, we will show that the renormalization group - one of the most…

General Physics · Physics 2010-01-04 Ignazio Licata

Human and artificial organizations may be described as networks of interacting parts. Those parts exchange data and control information and, as a result of these interactions, organizations produce emergent behaviors and purposes -- traits…

Computers and Society · Computer Science 2015-05-22 Vincenzo De Florio

Economies are complex man-made systems where organisms and markets interact according to motivations and principles not entirely understood yet. The increasing dissatisfaction with the postulates of traditional economics i.e. perfectly…

Adaptation and Self-Organizing Systems · Physics 2012-06-04 Jaime Gomez-Ramirez , Manuel G. Bedia

Low-level "adaptive" and higher-level "sophisticated" human reasoning processes have been proposed to play opposing roles in the emergence of unpredictable collective behaviors like crowd panics, traffic jams, and market bubbles. While…

Physics and Society · Physics 2017-06-08 Seth Frey , Robert L. Goldstone

Physicists study a wide variety of phenomena creating new interdisciplinary research fields by applying theories and methods originally developed in physics in order to solve problems in economics, social science, biology, medicine,…

Popular Physics · Physics 2007-07-24 D. Volchenkov , Ph. Blanchard