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In ecology it is widely recognised that many landscapes comprise a network of discrete patches of habitat. The species that inhabit the patches interact with each other through a foodweb, the network of feeding interactions. The…

Populations and Evolution · Quantitative Biology 2017-08-11 Edmund Barter , Thilo Gross

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios

Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relations among arbitrary numbers of units through representations…

Adaptation and Self-Organizing Systems · Physics 2023-03-24 Yuanzhao Zhang , Maxime Lucas , Federico Battiston

Homophily describes a fundamental tie-formation mechanism in social networks in which connections between similar nodes occur at a higher rate than among dissimilar ones. In this article, we present an extension of the Weighted Social…

We study the motion of random walkers with residence time bias between first and subsequent visits to a site, as a model for synthetic molecular walkers composed of coupled DNAzyme legs known as molecular spiders. The mechanism of the…

Biological Physics · Physics 2020-07-01 David Arredondo , Darko Stefanovic

Despite the vast literature on network dynamics, we still lack basic insights into dynamics on higher-order structures (e.g., edges, triangles, and more generally, $k$-dimensional "simplices") and how they are influenced through…

Physics and Society · Physics 2022-03-14 Cameron Ziegler , Per Sebastian Skardal , Haimonti Dutta , Dane Taylor

From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a set of nodes interacting through different networks (layers).…

Statistical Mechanics · Physics 2015-06-16 Davide Cellai , Eduardo López , Jie Zhou , James P. Gleeson , Ginestra Bianconi

Filaments are a natural generalization of the well-known concept of dynamic rays in complex dynamics. In this article we investigate which periodic or preperiodic filaments land together for arbitrary post-singularly finite transcendental…

Dynamical Systems · Mathematics 2026-01-14 David Pfrang , Sören Petrat , Bernhard Reinke , Dierk Schleicher

Computational models of collective behavior in birds has allowed us to infer interaction rules directly from experimental data. Using a generic form of these rules we explore the collective behavior and emergent dynamics of a simulated…

Adaptation and Self-Organizing Systems · Physics 2012-07-24 Michael Small , Xiaoke Xu

Social insects such as ants communicate via pheromones which allows them to coordinate their activity and solve complex tasks as a swarm, e.g. foraging for food. This behavior was shaped through evolutionary processes. In computational…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Cristian Jimenez Romero , Alper Yegenoglu , Aarón Pérez Martín , Sandra Diaz-Pier , Abigail Morrison

The emergence of online social platforms, such as social networks and social media, has drastically affected the way people apprehend the information flows to which they are exposed. In such platforms, various information cascades spreading…

Social and Information Networks · Computer Science 2026-03-11 Gaspard Abel , Argyris Kalogeratos , Jean-Pierre Nadal , Julien Randon-Furling

The spread of socially-learnt behaviours occurs in many animal species, and understanding how behaviours spread can provide novel insights into the causes and consequences of sociality. Within wild populations, behaviour spread is often…

Social and Information Networks · Computer Science 2020-12-17 Josh A. Firth , Gregory F. Albery , Kristina B. Beck , Ivan Jarić , Lewis G. Spurgin , Ben C. Sheldon , Will Hoppitt

Overlapping communities are key characteristics of the structure and function analysis of complex networks. Shared or overlapping nodes within overlapping communities can form either subcommunities or act as intersections between larger…

Social and Information Networks · Computer Science 2025-12-19 Vesa Kuikka , Kosti Koistinen , Kimmo K Kaski

File-sharing systems, like many online and traditional information sharing communities (e.g. newsgroups, BBS, forums, interest clubs), are dynamical systems in nature. As peers get in and out of the system, the information content made…

Networking and Internet Architecture · Computer Science 2007-05-23 W. -Y. Ng , W. K. Lin , D. M. Chiu

Despite the central role of self-assembled groups in animal and human societies, statistical tools to explain their composition are limited. We introduce a statistical framework for cross-sectional observations of groups with exclusive…

Methodology · Statistics 2021-08-03 Marion Hoffman , Per Block , Tom A. B. Snijders

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

Within food webs, species can be partitioned into groups according to various criteria. Two notions have received particular attention: trophic groups, which have been used for decades in the ecological literature, and more recently,…

Populations and Evolution · Quantitative Biology 2015-04-14 Benoit Gauzens , Elisa Thébault , Gérard Lacroix , Stéphane Legendre

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

Higher-order interactions play an important role in complex contagion processes. Mean-field approximations have been used to characterize the onset of spreading in the presence of group interactions. However, individual-based mean-field…

Physics and Society · Physics 2024-10-02 Federico Malizia , Luca Gallo , Mattia Frasca , István Z. Kiss , Vito Latora , Giovanni Russo

Animal groups collaborate with one another throughout their lives to better comprehend their surroundings. Here, we try to model, using continuous random walks, how the entire process of birth, reproduction, and death might impact the…

Adaptation and Self-Organizing Systems · Physics 2022-11-07 Sanchayan Bhowal , Ramkrishna Jyoti Samanta , Arnob Ray , Sirshendu Bhattacharyya , Chittaranjan Hens