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Dynamics on higher-order networks: A review
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …
But recent research has identified limits of classical networks, where links connect pairs of …
The physics of higher-order interactions in complex systems
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …
interacting systems. However, networks are intrinsically limited to describing pairwise …
Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …
and their collective behavior. Going beyond pairwise interactions, they encode structured …
Higher-order organization of multivariate time series
Time series analysis has proven to be a powerful method to characterize several
phenomena in biology, neuroscience and economics, and to understand some of their …
phenomena in biology, neuroscience and economics, and to understand some of their …
Higher-order motif analysis in hypergraphs
A deluge of new data on real-world networks suggests that interactions among system units
are not limited to pairs, but often involve a higher number of nodes. To properly encode …
are not limited to pairs, but often involve a higher number of nodes. To properly encode …
Inference of hyperedges and overlap** communities in hypergraphs
Hypergraphs, encoding structured interactions among any number of system units, have
recently proven a successful tool to describe many real-world biological and social …
recently proven a successful tool to describe many real-world biological and social …
Community detection in large hypergraphs
Hypergraphs, describing networks where interactions take place among any number of
units, are a natural tool to model many real-world social and biological systems. Here, we …
units, are a natural tool to model many real-world social and biological systems. Here, we …
Hypergraphx: a library for higher-order network analysis
From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …
The temporal dynamics of group interactions in higher-order social networks
Representing social systems as networks, starting from the interactions between individuals,
sheds light on the mechanisms governing their dynamics. However, networks encode only …
sheds light on the mechanisms governing their dynamics. However, networks encode only …
Reconstructing higher-order interactions in coupled dynamical systems
Higher-order interactions play a key role for the operation and function of a complex system.
However, how to identify them is still an open problem. Here, we propose a method to fully …
However, how to identify them is still an open problem. Here, we propose a method to fully …