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Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

Adaptation and Self-Organizing Systems · Physics 2019-12-05 Erik Andreas Martens , Konstantin Klemm

The interaction networks of biological systems are known to take on several non-random structural properties, some of which are believed to positively influence system robustness. Researchers are only starting to understand how these…

Neural and Evolutionary Computing · Computer Science 2011-02-08 James M. Whitacre , Ruhul A. Sarker , Q. Tuan Pham

After more than a century of concerted effort, physics still lacks basic principles of spontaneous self-organization. To appreciate why, we first state the problem, outline historical approaches, and survey the present state of the physics…

Statistical Mechanics · Physics 2023-11-27 Adam T. Rupe , James P. Crutchfield

The idea is advanced that self-organization in complex systems can be treated as decision making (as it is performed by humans) and, vice versa, decision making is nothing but a kind of self-organization in the decision maker nervous…

Adaptation and Self-Organizing Systems · Physics 2014-08-08 V. I. Yukalov , D. Sornette

There has been a long debate on how new levels of organization have evolved. It might seem unlikely, as cooperation must prevail over competition. One well-studied example is the emergence of autocatalytic sets, which seem to be a…

Populations and Evolution · Quantitative Biology 2026-02-16 Sean P. Maley , Carlos Gershenson , Stuart A. Kauffman

Turbulence parametrizations will remain a necessary building block in kilometer-scale Earth system models. In convective boundary layers, where the mean vertical gradients of conserved properties such as potential temperature and moisture…

Fluid Dynamics · Physics 2023-07-28 Florian Heyder , Juan Pedro Mellado , Jörg Schumacher

One of the most intriguing questions in evolution is how organisms exhibit suitable phenotypic variation to rapidly adapt in novel selective environments which is crucial for evolvability. Recent work showed that when selective environments…

Populations and Evolution · Quantitative Biology 2015-08-28 Kostas Kouvaris , Jeff Clune , Louis Kounios , Markus Brede , Richard A. Watson

Fluids subject to both thermal and compositional variations can undergo doubly diffusive convection when these properties both affect the fluid density and diffuse at different rates. A variety of patterns can arise from these…

Fluid Dynamics · Physics 2024-01-04 J. Tumelty , C. Beaume , A. M. Rucklidge

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

A subcritical pattern-forming system with nonlinear advection in a bounded domain is recast as a slow-fast system in space and studied using a combination of geometric singular perturbation theory and numerical continuation. Two types of…

Pattern Formation and Solitons · Physics 2018-03-20 Daniele Avitabile , Mathieu Desroches , Edgar Knobloch , Martin Krupa

Innovation and obsolescence describe dynamics of ever-churning and adapting social and biological systems, concepts that encompass field-specific formulations. We formalize the connection with a reduced model of the dynamics of the "space…

Physics and Society · Physics 2022-12-08 Edward D. Lee , Christopher P. Kempes , Geoffrey B. West

Collective systems that self-organise to maximise the group's ability to collect and distribute information can be successful in environments with high spatial and temporal variation. Such organisations are abundant in nature, as sharing…

Populations and Evolution · Quantitative Biology 2025-10-28 R. S. Walker , G. Ramos-Fernandez , D. Boyer , S. E. Smith-Aguilar , X. O'Neill , M. J. Silk

The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

Statistical Mechanics · Physics 2009-01-07 Zhen Shao , Hai-jun Zhou

We propose a two-scale neural network method for optimal control problems governed by convection-dominated convection-diffusion-reaction equations. Building on two-scale architectures developed for singularly perturbed forward problems, we…

Numerical Analysis · Mathematics 2026-05-19 Sijing Liu , Marcus Sarkis , Yi Zhang , Zhongqiang Zhang

The puzzle of computer vision might find new challenging solutions when we realize that most successful methods are working at image level, which is remarkably more difficult than processing directly visual streams. In this paper, we claim…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 Alessandro Betti , Marco Gori

Many geophysical and astrophysical phenomena are driven by turbulent fluid dynamics, containing behaviors separated by tens of orders of magnitude in scale. While direct simulations have made large strides toward understanding geophysical…

Fluid Dynamics · Physics 2018-10-10 Jonathan S Cheng , Jonathan M Aurnou , Keith Julien , Rudie P J Kunnen

Spaces of convex and concave functions appear naturally in theory and applications. For example, convex regression and log-concave density estimation are important topics in nonparametric statistics. In stochastic portfolio theory, concave…

Probability · Mathematics 2021-05-25 Peter Baxendale , Ting-Kam Leonard Wong

The global scales of solar convection are studied through three-dimensional simulations of compressible convection carried out in spherical shells of rotating fluid which extend from the base of the convection zone to within 15 Mm of the…

Astrophysics · Physics 2009-11-13 Mark S. Miesch , Allan Sacha Brun , Marc L. Derosa , Juri Toomre

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

Natural evolution has produced a tremendous diversity of functional organisms. Many believe an essential component of this process was the evolution of evolvability, whereby evolution speeds up its ability to innovate by generating a more…

Neural and Evolutionary Computing · Computer Science 2019-02-15 Joost Huizinga , Kenneth O. Stanley , Jeff Clune