All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

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 …

Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …

Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

Simplicial complexes are mathematical constructions that describe higher-order interactions
within the interconnecting elements of a network. Such higher-order interactions become …

Hypergraphs and simplical complexes both capture the higher-order interactions of complex
systems, ranging from higher-order collaboration networks to brain networks. One open …

Higher-order interactions are increasingly recognized as a fundamental aspect of complex
systems ranging from the brain to social contact networks. Hypergraphs as well as simplicial …

Recent developments in complex systems have witnessed that many real-world scenarios,
successfully represented as networks, are not always restricted to binary interactions but …

Previous efforts on data-based reconstruction focused on complex networks with pairwise or
two-body interactions. There is a growing interest in networks with higher-order or many …