Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

Throughout the last two decades, complex systems have been modeled as complex
networks by capturing pairwise interactions. However, as research has progressed, it has …

In modern systems, from brain neural networks to social group networks, pairwise
interactions are not sufficient to express higher-order relationships. The smallest unit of their …

Based on an auditory neuron model developed from the piezoelectric neural circuit, two
different stimuli (F1, F2) are respectively used and then combined (F1+ F2) synchronously to …

Simplicial complexes successfully resolve the limitation of social networks to describe the
spread of infectious diseases in group interactions. However, the effects of quarantines in …

In real complex systems, interactions occur not only between a pair of nodes, but also in
groups of three or more nodes, which can be abstracted as higher-order structures in the …

A fundamental concern on the robustness of hypergraphs lies in comprehending how the
failure of individual nodes affects the hyperedges they are associated with. To address the …

The presence of the giant component is a necessary condition for the emergence of
collective behavior in complex networked systems. Unlike networks, hypergraphs have an …

From human communications to ecological systems, higher-order networks are ubiquitous in
our society. The study of their dynamic processes using percolation theory has attracted …

In recent years, the research of multilayer interdependent networks has become a hotspot in
complex networks. However, most of the study is limited to describing pairwise interactions …