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Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

Disordered Systems and Neural Networks · Physics 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

Species interactions (ranging from direct predator prey relationships to indirect effects mediated by the environment) are central to ecosystem balance and biodiversity. While empirical methods for measuring these interactions exist, their…

Populations and Evolution · Quantitative Biology 2025-08-27 Javier Aguilar , Samir Suweis , Amos Maritan , Sandro Azaele

Interactive systems that facilitate exposure to examples can augment problem solving performance. However designers of such systems are often faced with many practical design decisions about how users will interact with examples, with…

Human-Computer Interaction · Computer Science 2024-01-24 Joel Chan , Zijian Ding , Eesh Kamrah , Mark Fuge

Social, supervised, learning from others might amplify individual, possibly unsupervised, learning by individuals, and might underlie the development and evolution of culture. We studied a minimal model of the interaction of individual…

Neurons and Cognition · Quantitative Biology 2020-05-21 Kingsley Cox , Paul Adams

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

Computation · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Artificial ecosystems provide an additional experimental tool to support laboratory work, field work, and theoretical development in competitive exclusion research. A novel application of a spatiotemporal agent based model is presented…

Populations and Evolution · Quantitative Biology 2023-06-01 John C. Stevenson

An approach for understanding the behavior of multiplicity distributions in restricted phase-space intervals derived on the basis of global observables is proposed. We obtain a unifying connection between local multiparticle clusters and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

Self-organisation lies at the core of fundamental but still unresolved scientific questions, and holds the promise of de-centralised paradigms crucial for future technological developments. While self-organising processes have been…

Adaptation and Self-Organizing Systems · Physics 2019-04-16 Fernando Rosas , Pedro A. M. Mediano , Martin Ugarte , Henrik J. Jensen

In this work, we present and analyze a general framework for vegetation dynamics in arid and semi-arid ecosystems in which non-local interactions are purely competitive. The generality of the formulation enables a systematic search for…

Pattern Formation and Solitons · Physics 2026-04-21 Jelle van der Voort , Ricardo Martinez-Garcia , Arjen Doelman

We have studied here the self-organising features of the dynamics of a model market, where the agents `trade' for a single commodity with their money. The model market consists of fixed numbers of economic agents, money supply and…

Statistical Mechanics · Physics 2009-10-31 Anirban Chakraborti , Srutarshi Pradhan , Bikas K. Chakrabarti

A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the…

Physics and Society · Physics 2009-03-06 Dirk Helbing

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

It is becoming more and more clear that complex networks present remarkable large fluctuations. These fluctuations may manifest differently according to the given model. In this paper we re-consider hidden variable models which turn out to…

Disordered Systems and Neural Networks · Physics 2014-02-19 Massimo Ostilli

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

Complex systems with global interactions tend to be stable if interactions between components are sufficiently homogeneous. In biological systems, which often have small copy numbers and interactions mediated by diffusing agents, noise and…

Biological Physics · Physics 2023-04-14 Fabrizio Olmeda , Steffen Rulands

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting…

Statistical Mechanics · Physics 2021-11-23 Giorgio Nicoletti , Daniel Maria Busiello

Cells generally change their internal state to adapt to an environmental change, and accordingly evolve in response to the new conditions. This process involves phenotypic changes that occur over several different time scales, ranging from…

Populations and Evolution · Quantitative Biology 2015-02-03 Chikara Furusawa , Kunihiko Kaneko

A conditional diffusion model has been developed to analyze intricate conductance fluctuations called universal conductance fluctuations or quantum fingerprints appearing in quantum transport phenomena. The model reconstructs impurity…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Naoto Yokoi , Yuki Tanaka , Yukito Nonaka , Shunsuke Daimon , Junji Haruyama , Eiji Saitoh
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