The physics of higher-order interactions in complex systems

  title={The physics of higher-order interactions in complex systems},
  author={Federico Battiston and Enrico Amico and Alain Barrat and Ginestra Bianconi and Guilherme Ferraz de Arruda and Benedetta Franceschiello and Iacopo Iacopini and Sonia K{\'e}fi and Vito Latora and Yamir Moreno and Micah M. Murray and Tiago P. Peixoto and Francesco Vaccarino and Giovanni Petri},
1Department of Network and Data Science, Central European University, Vienna, Austria. 2Institute of Bioengineering/Center for Neuroprosthetics, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. 3Department of Radiology and Medical Informatics, University of Geneva, Geneva, Switzerland. 4Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France. 5Tokyo Tech World Research Hub Initiative (WRHI), Tokyo Institute of Technology, Tokyo, Japan. 6School of Mathematical… Expand

Figures from this paper

Interdependent couplings map to thermal, higher-order interactions
Interdependence is a fundamental ingredient to analyze the stability of many real-world complex systems featuring functional liasons. Yet, physical realizations of this coupling are still unknown,Expand
Effective vaccination strategy using graph neural network ansatz
The effectiveness of vaccination highly depends on the choice of individuals to vaccinate, even if the same number of individuals are vaccinated. Vaccinating individuals with high centrality measuresExpand
Emergence of dynamic properties in network hyper-motifs
Networks are fundamental for our understanding of complex systems. Interactions between individual nodes in networks generate network motifs small recurrent patterns that can be considered theExpand


Influential groups for seeding and sustaining hypergraph contagions
Guillaume St-Onge, 2, ∗ Iacopo Iacopini, 4, 5 Vito Latora, 6, 7, 8 Alain Barrat, 9 Giovanni Petri, 11 Antoine Allard, 2, 12 and Laurent Hébert-Dufresne 12, 13, † Département de Physique, de GénieExpand
Stability of synchronization in simplicial complexes
This work shows that complete synchronization exists as an invariant solution, and gives the necessary condition for it to be observed as a stable state, and generalizes the existing results valid for pairwise interactions to the case of complex systems with the most general possible architecture. Expand
Dynamical Systems on Networks: A Tutorial
This tutorial should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Expand
Exotic states in a simple network of nanoelectromechanical oscillators
An oscillator network based on nonlinear nanoelectromechanical systems (NEMS) showed experimentally that a simple network of oscillators can reproduce the predictions of theoretical models with explicit complex interactions, and observed spontaneous symmetry breaking in a simple and general network setting. Expand
Complex Networks: Structure and Dynamics
The major concepts and results recently achieved in the study of the structure and dynamics of complex networks are reviewed, and the relevant applications of these ideas in many different disciplines are summarized, ranging from nonlinear science to biology, from statistical mechanics to medicine and engineering. Expand
Growing Scale-Free Simplices
Here this work introduces, study, and characterize a model to grow simplicial complexes of order two, i.e. nodes, links and triangles, that yields a highly flexible range of empirically relevant simplicial network ensembles. Expand
Complex networks: Structure and dynamics
Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highlyExpand
Abrupt phase transition of epidemic spreading in simplicial complexes
This work deals with the problem of epidemic spreading, using the Susceptible-Infected-Susceptible (SIS) model, in simplicial complexes, and analyze the dynamics of SIS in complex networks characterized by pairwise interactions (links), and three-body interactions (filled triangles). Expand
Nonlinear dynamics of networks: the groupoid formalism
A formal theory of symmetries of networks of coupled dynamical systems, stated in terms of the group of permutations of the nodes that preserve the network topology, has existed for some time.Expand
Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes.
This analysis of the collective dynamics of a large ensembles of dynamical units with nonpairwise interactions, namely coupled phase oscillators with three-way interactions, sheds light on the complexity that can arise in physical systems with simplicial interactions like the human brain and the role that simplified interactions play in storing information. Expand