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 …

Despite the vast literature on network dynamics, we still lack basic insights into dynamics on
higher-order structures (eg, edges, triangles, and more generally, k-dimensional “simplices”) …

Directed graphs are ubiquitous models for networks, and topological spaces they generate,
such as the directed flag complex, have become useful objects in applied topology. Here the …

In the field of complex networks, cascade failure has been widely studied due to its ubiquity
and profound impact. While in recent years, the conceptualization of “higher-order …

Analytical thinking is dominated by binary ideas. From pair-wise interactions, to algebraic
operations, to compositions of processes, to network models, binary structures are deeply …

Convection is a well-studied topic in fluid dynamics, yet it is less understood in the context of
network flows. Here, we incorporate techniques from topological data analysis (namely …

We investigate the effect of the fraction of pairwise and higher-order interactions on the
emergent dynamics of the two populations of globally coupled Kuramoto oscillators with …

The investigation of dynamical processes on networks has been one focus for the study of
contagion processes. It has been demonstrated that contagions can be used to obtain …

Technological developments are increasingly rapid; in this technological development,
many interactive and effective learning media have emerged to be applied in learning …

Simplified models of neural networks have demonstrated the importance of establishing a
reasonable tradeoff between memory capacity and fault-tolerance in cortical coding …