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Despite being a source of rich information, graphs are limited to pairwise interactions. However, several real-world networks such as social networks, neuronal networks, etc., involve interactions between more than two nodes. Simplicial…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Sanjukta Krishnagopal , Ginestra Bianconi

Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

The microscopic organization of dynamical systems coupled via higher-order interactions plays a pivotal role in understanding their collective behavior. In this paper, we introduce a framework for systematically investigating the impact of…

Physics and Society · Physics 2025-01-14 Santiago Lamata-Otín , Federico Malizia , Vito Latora , Mattia Frasca , Jesús Gómez-Gardeñes

Complex systems, such as economic, social, biological, and ecological systems, usually feature interactions not only between pairwise entities but also among three or more entities. These multi-entity interactions are known as higher-order…

Physics and Society · Physics 2025-06-06 Junhap Bian , Tao Zhou , Yilin Bi

Although higher-order interactions are known to affect the typical state of dynamical processes giving rise to new collective behavior, how they drive the emergence of rare events and fluctuations is still an open problem. We investigate…

Disordered Systems and Neural Networks · Physics 2024-09-09 Leonardo Di Gaetano , Giorgio Carugno , Federico Battiston , Francesco Coghi

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they…

Adaptation and Self-Organizing Systems · Physics 2024-08-23 Md Sayeed Anwar , S. Nirmala Jenifer , Paulsamy Muruganandam , Dibakar Ghosh , Timoteo Carletti

Synchronization is a ubiquitous phenomenon in complex systems. The Kuramoto model serves as a paradigmatic framework for understanding how coupled oscillators achieve collective rhythm. Conventional approaches focus on pairwise…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

Understanding the mechanisms that govern collective synchronization is a paramount task in nonlinear dynamics. While higher-order (many-body) interactions have recently emerged as a powerful framework for capturing collective behaviors,…

Adaptation and Self-Organizing Systems · Physics 2025-12-19 Narumi Fujii , Keisuke Taga , Riccardo Muolo , Bob Rink , Hiroya Nakao

In functionally complex systems, higher-order connectivity is often revealed in the underlying geometry of networked units. Furthermore, such systems often show signatures of self-organized criticality, a specific type of non-equilibrium…

Statistical Mechanics · Physics 2026-03-11 Bosiljka Tadic , Roderick Melnik

Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled by resorting to binary exchanges. In this work, we consider…

Adaptation and Self-Organizing Systems · Physics 2020-06-03 Timoteo Carletti , Duccio Fanelli , Sara Nicoletti

Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

Physics and Society · Physics 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we…

Physics and Society · Physics 2023-03-17 Luca Gallo , Lucas Lacasa , Vito Latora , Federico Battiston

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

Many socioeconomic phenomena, such as technology adoption, collaborative problem-solving, and content engagement, involve a collection of agents coordinating to take a common action, aligning their decisions to maximize their individual…

Physics and Society · Physics 2024-03-26 Yifei Zhang , Marcos M. Vasconcelos

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and social interaction networks. They are generalized network structures that allow to go beyond the framework of…

Disordered Systems and Neural Networks · Physics 2020-06-02 Joaquín J. Torres , Ginestra Bianconi

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

Adaptation and Self-Organizing Systems · Physics 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

Human social interactions are typically recorded as time-specific dyadic interactions, and represented as evolving (temporal) networks, where links are activated/deactivated over time. However, individuals can interact in groups of more…

Physics and Society · Physics 2022-11-03 Alberto Ceria , Huijuan Wang

Recent studies have shown that novel collective behaviors emerge in complex systems due to higher-order interactions. However, the way in which the structural correlations of these interactions shape such behaviors remains a significant gap…

Physics and Society · Physics 2026-03-02 Kaloyan Danovski , Sandro Meloni , Michele Starnini

Higher-order interactions play a key role for the stability and function of a complex system. However, how to identify them is still an open problem. Here, we propose a method to fully reconstruct the structural connectivity of a system of…